For which of the following values of y is 54^y maximized?

Practice Questions Blog Pricing

Log in

Free Practice Question

PS · Problem Solving

505-555

Exponents/Powers

For which of the following values of y is $\frac{5}{4^y}$ maximized?

Answer Choices

Correct answer marked below

0

Correct

B

1

C

2

D

3

E

4

See the full step-by-step explanation

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Sign in Create free account

Track your performance and improve

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Start for free Sign in

Explanation

Preview

Official Explanation

Official

To determine the maximum value of

\frac{5}{4^y}

, we need to minimize the denominator. The expression

\frac{5}{4^y}

is evaluated at…

Read the full explanation

Sign in for free to see the complete step-by-step solution to this question.

Create free account Sign in

Comments

2

Sign in to join the discussion

Sign in Create free account

A

ananyaFeb 24, 2024

appreciated!

J

JuanApr 21, 2025

thanks

What this question tests

What it tests

Your grasp of exponent rules — multiplying and dividing powers, power-of-a-power, and negative/zero exponents.

Common trap

Adding exponents when multiplying bases that have the same exponent, or confusing (x^a)^b with x^(a·b).

Unlock full explanations

Create a free account to reveal the correct answer and see step-by-step explanations for every question.

Create free account I already have an account

For which of the following values of y is 54y\frac{5}{4^y}4y5​ maximized?