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4 votes
Find the product.

(-5a ^2)^3 · a ^5

A. -15a^10
B. -125a^11
C. 15a^6
D.-125a^10

User Tomconnors
by
3.9k points

2 Answers

1 vote

Answer: D. -125a^11


Explanation:

1. You have the following expression:


(-5a^(2))^(3)*a^(5)

2. You must apply the exponent rule (Powers to powers): to raise a power to a power you must multiply the exponents:


(-125a^(6))(a^(5))

3. By the Product property of exponents, you can add the exponents when you mutiply two powers with equal base:


-125a^11


User Apascualb
by
4.7k points
3 votes

Answer:

Option B. -125a^11

Explanation:


(-5a^2)^(3)a^5=(-5)^3(a^2)^3a^5\\ (-5a^2)^(3)a^5=-125a^(2(3) )a^5\\(-5a^2)^(3)a^5=-125a^(6)a^5\\(-5a^2)^(3)a^5=-125a^(6+5)\\(-5a^2)^(3)a^5=-125a^(11)

User Jithin Jose
by
4.3k points