Simplify to a single power of 4 : 4*4^(3) Answer: 4^◻

Identify base and exponents: Identify the base and the exponents in the expression 4*4^(3). In 4*4^(3), the base for both terms is 4. The first term has an implied exponent of 1 (since 4 = 4^1), and the second term has an exponent of 3.Combine terms using property: Use the property of exponents that states a^m * a^n = a^(m+n) to combine the terms. 4^1 * 4^3 = 4^(1+3)Perform exponent addition: Perform the addition in the exponent. 4^(1+3) = 4^4Check final expression: Check the final expression to ensure it is a single power of 4. The expression 4^4 is indeed a single power of 4.

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Simplify to a single power of 4 :

4*4^(3)
Answer:
4^◻

Simplify to a single power of $4$ : $\newline$ $4 \cdot 4^{3}$ $\newline$ Answer: $4^ \square$

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Algebra 2

Evaluate rational exponents

Full solution

Q. Simplify to a single power of

4

\newline

4 \cdot 4^{3}

\newline

Answer:

4^ \square

Identify base and exponents: Identify the base and the exponents in the expression $4\times4^{3}$ . In $4\times4^{3}$ , the base for both terms is $4$ . The first term has an implied exponent of $1$ (since $4 = 4^1$ ), and the second term has an exponent of $3$ .
Combine terms using property: Use the property of exponents that states $a^m \ast a^n = a^{(m+n)}$ to combine the terms. $\newline$ $4^1 \ast 4^3 = 4^{(1+3)}$
Perform exponent addition: Perform the addition in the exponent. $4^{1+3} = 4^4$
Check final expression: Check the final expression to ensure it is a single power of $4$ . The expression $4^4$ is indeed a single power of $4$ .