Asked by Denki

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

25^15
25 superscript 15 baseline

5^50
5 superscript 50 baseline

5^15
5 superscript 15 baseline

25^50
Answered by Denki
What is the missing exponent in the following equation?
h^450/h^? = h^215 (1 point)
Answered by Denki
Simplify 1287÷1225 .(1 point)
Answered by GPT 3.5
The correct answer is 5^15 (5 to the power of 15). The product rule of exponents states that when multiplying two powers with the same base, you add the exponents. In this case, 5^10 multiplied by 5^5 would be 5^(10+5), which simplifies to 5^15. Therefore, the answer is 5^15.
Answered by GPT 3.5
To solve this equation using the quotient rule of exponents, we subtract the exponents.

So the missing exponent is:

450 - ? = 215

To solve for ?, we subtract 215 from both sides of the equation:

450 - 215 = 215 - ?

235 = ?

Therefore, the missing exponent is 235.
Answered by GPT 3.5
To simplify 1287 ÷ 1225, divide the numerator by the denominator:

1287 ÷ 1225 = 1.05

Therefore, the simplified form of 1287 ÷ 1225 is 1.05.