Question

Select the correct answer.
Which expression is equivalent to the given expression?

Answer 1

We can focus on each part separately, first the numbers:
-3 times (5 squared)
-3 times 25
= -75
This rules out the last two options

Next let’s focus on the x terms:
x^3 times (x^5 squared)
When raising a term that is already raised to a power by another power, you multiply the powers, in this case 5 times 2 = 10
x^3 times x^10
When multiplying numbers with the same base, you add the powers
=x^13

So the answer must be B but we can check the y terms just to make sure

y^2 times (y^4 squared)
y^2 times y^8
=y^10 which matches answer B