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

Select the correct answer. Which expression is equivalent to the given expression-example-1
User Kilizo
by
2.4k points

1 Answer

6 votes
6 votes
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
User KenobiBastila
by
3.1k points