Question

Question

Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0) .(2 points)
9⋅(−33)^0+3/2(8−27^0) =(__⋅ __)+3/2(___+__)

Answer 1

Answer
Using the Zero Power Rule, we know that any number raised to the power of 0 is equal to 1. So we can simplify the expression as follows:

9⋅(−33)^0+3/2(8−27^0) = 9⋅1 + 3/2(8 - 1)

= 9 + 3/2(7)

= 9 + 21/2

Therefore, the equivalent expression is:
9⋅(−33)^0+3/2(8−27^0) = (9 + 21/2)

Answer 2

Simplify 12^87÷12^25 .(1 point)

Answer 3

To simplify 12^87 ÷ 12^25, we subtract the exponents:

12^87 ÷ 12^25 = 12^(87 - 25) = 12^62

Therefore, 12^87 ÷ 12^25 simplifies to 12^62.

Answer 4

What is the missing exponent in the following equation?
h^450/h^? = h^215 (1 point)

Answer 5

To find the missing exponent in the equation h^450/h^? = h^215, we need to subtract the exponent of the denominator from the exponent of the numerator:

450 - ? = 215

To solve for ?, we can isolate it by subtracting 215 from both sides:

450 - 215 = ?

235 = ?

Therefore, the missing exponent is 235.

Answer 6

Use the Product Rule of Exponents to simplify 5^10⋅5^5 (1 point)
Responses

25^50
25 superscript 50 baseline

5^50
5 superscript 50 baseline

25^15
25 superscript 15 baseline

5^15

Answer 7

To simplify 5^10 ⋅ 5^5 using the Product Rule of Exponents, we add the exponents together:

5^10 ⋅ 5^5 = 5^(10 + 5)

= 5^15

Therefore, the simplified expression is 5^15.