Given that 4^p4^p4^p = 16^q, what is the value of pq =?

Free Practice Question

PS · Problem Solving

505-555

Exponents/Powers

Given that $4^p4^p4^p = 16^q$ , what is the value of $\frac{p}{q} =$ ?

Answer Choices

Correct answer marked below

A

1/4

2/3

Correct

C

1

D

2

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

Starting with the equation

4^p4^p4^p = 16^q

, we can rewrite it as

4^{3p} = (4^2)^q

. This simplifies to

4^{3p} = 4^{2q}

. Since the bases are…

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

Y

YatharthJan 6, 2024

Good question

C

christianDec 13, 2024

Thank for sharing!

Given that $4^p4^p4^p = 16^q$ , what is the value of $\frac{p}{q} =$ ?

Answer Choices

See the full step-by-step explanation

Track your performance and improve

Official Explanation

Read the full explanation

What it tests

Common trap

Unlock full explanations

Given that 4p4p4p=16q4^p4^p4^p = 16^q4p4p4p=16q, what is the value of pq=\frac{p}{q} =qp​=?

Answer Choices

See the full step-by-step explanation

Track your performance and improve

Official Explanation

Read the full explanation

What it tests

Common trap

Unlock full explanations

Given that $4^p4^p4^p = 16^q$ , what is the value of $\frac{p}{q} =$ ?