Simplify to a single power of 4 : 4×4^(2) Answer: 4^◻

Identify base and exponents: Identify the base and the exponents in the expression 4×4^(2). In 4×4^(2), the base for both terms is 4. The first term has an implied exponent of 1 (since 4 = 4^(1)). The second term has an exponent of 2.Apply product of powers property: Apply the product of powers property for exponents with the same base. The product of powers property states that when multiplying two powers that have the same base, you can add the exponents. So, 4^(1)×4^(2) = 4^(1+2).Perform addition of exponents: Perform the addition of the exponents. 1 + 2 = 3 So, 4^(1)×4^(2) = 4^(3).Write final answer: Write the final answer. The expression simplifies to a single power of 4 as 4^(3).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify to a single power of 4 :

4×4^(2)
Answer: 4^◻

Simplify to a single power of $4$ : $\newline$ $4 \times 4^{2}$ $\newline$ Answer: $4 ^\square$

View step-by-step help

Home

Math Problems

Algebra 2

Evaluate rational exponents

Full solution

Q. Simplify to a single power of

4

\newline

4 \times 4^{2}

\newline

Answer:

4 ^\square

Identify base and exponents: Identify the base and the exponents in the expression $4\times4^{2}$ . In $4\times4^{2}$ , the base for both terms is $4$ . The first term has an implied exponent of $1$ (since $4 = 4^{1}$ ). The second term has an exponent of $2$ .
Apply product of powers property: Apply the product of powers property for exponents with the same base. $\newline$ The product of powers property states that when multiplying two powers that have the same base, you can add the exponents. $\newline$ So, $4^{1}\times4^{2} = 4^{1+2}$ .
Perform addition of exponents: Perform the addition of the exponents. $\newline$ $1 + 2 = 3$ $\newline$ So, $4^{1}\times4^{2} = 4^{3}$ .
Write final answer: Write the final answer. $\newline$ The expression simplifies to a single power of $4$ as $4^{3}$ .