What is the value of A when we rewrite 4^(31 x) as A^(x) ? Choose 1 answer: (A) A=(4)/(31) (B) A=4^(31) (c) A=4*31 (D) A=31^(4)

Problem Understanding: Understand the problem. We need to express 4^(31x) in the form of A^(x), where A is a constant that does not depend on x.Expression Rewrite: Rewrite the expression. Since we want to express 4^(31x) as A^(x), we need to find a value for A such that A^(x) = 4^(31x).Base and Exponent Identification: Identify the base and the exponent. In the expression 4^(31x), the base is 4 and the exponent is 31x. We want to keep the exponent as x in the new expression A^(x).Finding the Value of A: Find the value of A. To keep the exponent as x, A must be equal to 4 raised to the power of 31, because (4^31)^x = 4^(31x).Choosing the Correct Answer: Choose the correct answer. From the options given, the correct answer is (B) A = 4^31.

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What is the value of
A when we rewrite
4^(31 x) as
A^(x) ?
Choose 1 answer:
(A)
A=(4)/(31)
(B)
A=4^(31)
(c)
A=4*31
(D)
A=31^(4)

What is the value of $A$ when we rewrite $4^{31 x}$ as $A^{x}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $A=\frac{4}{31}$ $\newline$ (B) $A=4^{31}$ $\newline$ (C) $A=4 \cdot 31$ $\newline$ (D) $A=31^{4}$

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Math Problems

Algebra 1

Compare linear and exponential growth

Full solution

Q. What is the value of

A

when we rewrite

4^{31 x}

A^{x}

\newline

Choose

1

answer:

\newline

(A)

A=\frac{4}{31}

\newline

(B)

A=4^{31}

\newline

(C)

A=4 \cdot 31

\newline

(D)

A=31^{4}

Problem Understanding: Understand the problem. $\newline$ We need to express $4^{31x}$ in the form of $A^{x}$ , where $A$ is a constant that does not depend on $x$ .
Expression Rewrite: Rewrite the expression. $\newline$ Since we want to express $4^{31x}$ as $A^{x}$ , we need to find a value for $A$ such that $A^{x} = 4^{31x}$ .
Base and Exponent Identification: Identify the base and the exponent. $\newline$ In the expression $4^{31x}$ , the base is $4$ and the exponent is $31x$ . We want to keep the exponent as $x$ in the new expression $A^{x}$ .
Finding the Value of A: Find the value of A. $\newline$ To keep the exponent as $x$ , $A$ must be equal to $4$ raised to the power of $31$ , because $(4^{31})^x = 4^{31x}$ .
Choosing the Correct Answer: Choose the correct answer. $\newline$ From the options given, the correct answer is (B) $A = 4^{31}$ .