Which expression is equivalent to 4^7 * 4^4? Choices: (A)4^11 (B)1/4^11 (C)4^28 (D)1/4^28

Identify Base and Exponents: Identify the base and the exponents in the expression 4^7 * 4^4. Base: 4 Exponents: 7, 4Apply Multiplication Rule: Apply the rule for multiplying powers with the same base. When we multiply powers with the same base, we add the exponents. 4^7 * 4^4 = 4^(7+4)Perform Exponent Addition: Perform the addition of the exponents. 7 + 4 = 11 So, 4^7 * 4^4 = 4^11Choose Equivalent Expression: Choose the equivalent expression for 4^7 * 4^4. The correct expression is 4^11.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which expression is equivalent to $4^7 \times 4^4$ ? $\newline$ Choices: $\newline$ (A) $4^{11}$ $\newline$ (B) $\frac{1}{4^{11}}$ $\newline$ (C) $4^{28}$ $\newline$ (D) $\frac{1}{4^{28}}$

View step-by-step help

Home

Math Problems

Grade 8

Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

4^7 \times 4^4

\newline

Choices:

\newline

(A)

4^{11}

\newline

(B)

\frac{1}{4^{11}}

\newline

(C)

4^{28}

\newline

(D)

\frac{1}{4^{28}}

Identify Base and Exponents: Identify the base and the exponents in the expression $4^7 \times 4^4$ . $\newline$ Base: $4$ $\newline$ Exponents: $7, 4$
Apply Multiplication Rule: Apply the rule for multiplying powers with the same base. $\newline$ When we multiply powers with the same base, we add the exponents. $\newline$ $4^7 \times 4^4 = 4^{7+4}$
Perform Exponent Addition: Perform the addition of the exponents. $\newline$ $7 + 4 = 11$ $\newline$ So, $4^7 \times 4^4 = 4^{11}$
Choose Equivalent Expression: Choose the equivalent expression for $4^7 \times 4^4$ . The correct expression is $4^{11}$ .