Use the Product Rule of Exponents to simplify 5^10 x 5^5

5^50
25^15
25^50
5^15

Find the numerical equivalent of 9^9x9^−6%0D%0A9%0D%0A9%0D%0A⋅%0D%0A9%0D%0A−%0D%0A6%0D%0A . Your answer should be written without exponents.

3. What is the missing exponent in the following equation? h^450/h^?=h^215

4. simplify 12^87 divide symbol 12^25

5. What is the missing number in this simplified exponential expression: 7^? divide symbol 7^5 = 7^12?

6. What is the value of 6.9−2^0%0D%0A6.9%0D%0A−%0D%0A2%0D%0A0%0D%0A?(1 point)%0D%0AResponses%0D%0A%0D%0A7.9%0D%0A7.9%0D%0A%0D%0A5.9%0D%0A5.9%0D%0A%0D%0A6.9%0D%0A6.9%0D%0A%0D%0A4.9

7. Apply the Zero Power Rule to create an equivalent expression to 9 x (-33)^0 + 3/2 (8-27^0) = _ x _ + 3/2 (_-_)

8. Solve the expression 15x8^0/5 + 4(7^0-6)

9. Use the Power Rule of Exponents to simplify (10^3)^6

10. If the expression 715%0D%0A7%0D%0A15%0D%0A was simplified using the Power Rule of Exponents, which of the following would be an expanded equivalent expression?(1 point)%0D%0AResponses%0D%0A%0D%0A(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)%0D%0A(%0D%0A7%0D%0A⋅%0D%0A7%0D%0A⋅%0D%0A7%0D%0A)%0D%0A⋅%0D%0A(%0D%0A7%0D%0A⋅%0D%0A7%0D%0A⋅%0D%0A7%0D%0A)%0D%0A⋅%0D%0A(%0D%0A7%0D%0A⋅%0D%0A7%0D%0A⋅%0D%0A7%0D%0A)%0D%0A⋅%0D%0A(%0D%0A7%0D%0A⋅%0D%0A7%0D%0A⋅%0D%0A7%0D%0A)%0D%0A⋅%0D%0A(%0D%0A7%0D%0A⋅%0D%0A7%0D%0A⋅%0D%0A7%0D%0A)%0D%0Aleft parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis%0D%0A%0D%0A(710)5%0D%0A(%0D%0A7%0D%0A10%0D%0A)%0D%0A5%0D%0Aleft parenthesis 7 superscript 10 baseline right parenthesis superscript 5 baseline%0D%0A%0D%0A(7⋅7⋅7⋅7⋅7)10%0D%0A(%0D%0A7%0D%0A⋅%0D%0A7%0D%0A⋅%0D%0A7%0D%0A⋅%0D%0A7%0D%0A⋅%0D%0A7%0D%0A)%0D%0A10%0D%0Aleft parenthesis 7 times 7 times 7 times 7 times 7 right parenthesis superscript 10 baseline%0D%0A%0D%0A(718)3

11. Use the Power Rule of Exponents to create a simplified equivalent expression for (19^4)^9

12. Apply the Property of Negative Integer Exponents to solve 7−3%0D%0A7%0D%0A−%0D%0A3%0D%0A. The answer should not contain any exponent expression or decimals.

13. Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3^−17/8^−14%0D%0A3%0D%0A−%0D%0A17%0D%0A8%0D%0A−%0D%0A14%0D%0A with positive exponents only.(1 point)

14. Apply the Properties of Integer Exponents to generate equivalent expressions to (7^−3)^7 x 7^20/6^−2%0D%0A(%0D%0A7%0D%0A−%0D%0A3%0D%0A)%0D%0A7%0D%0A %0D%0A⋅%0D%0A %0D%0A7%0D%0A20%0D%0A6%0D%0A−%0D%0A2%0D%0A with only positive exponents, then solve the expression. Provide the answer as an improper fraction.

5 answers

Let's solve the questions one at a time.

1. Simplify 510×55

Using the Product Rule of Exponents: 510×55=510+5=515

Answer: 515


2. Find the numerical equivalent of 99×96

Using the Property of Exponents: 99×96=996=93

Calculating 93: 93=729

Answer: 729


3. What is the missing exponent in the equation h450/h?=h215?

Using the Quotient Rule of Exponents: h450?=h215450?=215?=450215=235

Answer: 235


4. Simplify 1287/1225

Using the Quotient Rule of Exponents: 1287/1225=128725=1262

Answer: 1262


5. What is the missing number in the expression 7?/75=712?

Using the Quotient Rule of Exponents: 7?5=712?5=12?=12+5=17

Answer: 17


6. Evaluate 6.92

The expression 6.92=16.92:

Calculating 6.92=47.61:

Thus, 6.92=147.61

Keeping the answer in decimal is less clear, let's re-evaluate:

If simply to get value:

  • Using direct calculation 6.9=1(6.9)20.02041649

When using in approximation close enough to: Converting more:

Answer: 0.0204 or expressed simply as the round-off 0.0208 or 5.9.


7. Apply the Zero Power Rule.

Using the Zero Power Rule: (33)0=1 and 270=1 Thus, the expression simplifies to: 9+32(81)=9+32(7)

Answer: 9×1+32×7


8. Solve 15x80/5+4(706)

80=1,70=1 So, we have: 15×15+4(16)=3+4(5)=320=17

Answer: 17


9. Simplify (103)6

Using the Power Rule of Exponents: (103)6=103×6=1018

Answer: 1018


10. Expand 715

The expanded equivalent expression for 715: (7777) (15 times)

Answer: 715=(77) (15 terms)


11. Simplify (194)9

Using the Power Rule: (194)9=1949=1936

Answer: 1936


12. Simplify 73

Using the positive exponent property: 73=173 73=343

Answer: 1343


13. Convert 317/814 to positive exponents.

317/814=317814=814317 (by taking negative out)

Answer: 814317


14. Solve (73)7720/62

Step 1: Convert to positive exponents: (73)7=721,62=162

Thus, simplifying: 72172062=721+201/62=711/62=6271=367

Final Implied Answer: 367


for question 7 *Answer: \(9 \times 1 + \frac{3}{2} \times 7\ - ___)**
there must be another number at the end ill show you where with the blank ___

Thank you for pointing that out! Let's revisit question 7 to ensure we include all the necessary elements to fill in the blank.

The expression given was: Double subscripts: use braces to clarify

Break it down:

  1. Recall that (33)0=1 and 270=1.
  2. Thus, the expression becomes: 9×1+32(81)
  3. Simplifying within the parentheses: 81=7
  4. So, we have: 9+32×7

Now translating it to the form Double subscripts: use braces to clarify:

  • The first part, Double subscripts: use braces to clarify can be 9×1.
  • For the second part, 8 and 1 fits nicely into Double subscripts: use braces to clarify.

Putting it all together, we get: 9×1+32(81)=9×1+32(81)

Thus, replacing the blank (__) in the form: =9×1+32(81)

Final Fill:

  • The last part filled is (81).

So, providing the complete response: Answer: 9×1+32(81).

WOW!!! incredible litterally 1 wrong! okay 10 is 7x7x7 7x7x7x7x7 that thing with no exponents its just 7x7x7x7x77x7x7x7x

I appreciate your patience and feedback! Let's address question 10 correctly.

The statement you provided suggests that you're looking for the expanded version of 715 without using exponents:

10. Expand 715:

The expanded equivalent expression for 715 would indeed be: 7×7×7×7×7×7×7×7×7×7×7×7×7×7×7

This means writing out 7 multiplied by itself 15 times:

Answer: 7×7×7×7×7×7×7×7×7×7×7×7×7×7×7

Thank you for your understanding, and I'm glad to assist further! If you have any more questions or need clarifications, just let me know!