Which expression is equivalent to 2^(8)*(2^(5))/(2^(5))? 2^(9) 2^(8) 2^(7) 1

Simplify Exponents: Simplify the expression using the properties of exponents. We have the expression 2^(8)*(2^(5))/(2^(5)). According to the properties of exponents, when we divide two expressions with the same base, we subtract the exponents. So, 2^(8)*(2^(5))/(2^(5)) = 2^(8) * (2^(5)/2^(5)).Simplify Division: Simplify the division part of the expression. Since 2^(5)/2^(5) is equal to 1 (because any number divided by itself is 1), we can simplify the expression further. 2^(8) * (2^(5)/2^(5)) = 2^(8) * 1.Multiply Result: Multiply 2^(8) by 1. Multiplying any number by 1 does not change the number, so 2^(8) * 1 is simply 2^(8).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which expression is equivalent to
2^(8)*(2^(5))/(2^(5))?

2^(9)

2^(8)

2^(7)
1

Which expression is equivalent to $2^{8} \cdot \frac{2^{5}}{2^{5}} ?$ $\newline$ $2^{9}$ $\newline$ $2^{8}$ $\newline$ $2^{7}$ $\newline$ $1$

View step-by-step help

Home

Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Which expression is equivalent to

2^{8} \cdot \frac{2^{5}}{2^{5}} ?

\newline

2^{9}

\newline

2^{8}

\newline

2^{7}

\newline

1

Simplify Exponents: Simplify the expression using the properties of exponents. $\newline$ We have the expression $2^{8}\times(2^{5})/(2^{5})$ . According to the properties of exponents, when we divide two expressions with the same base, we subtract the exponents. $\newline$ So, $2^{8}\times(2^{5})/(2^{5}) = 2^{8} \times (2^{5}/2^{5})$ .
Simplify Division: Simplify the division part of the expression. $\newline$ Since $2^{5}/2^{5}$ is equal to $1$ (because any number divided by itself is $1$ ), we can simplify the expression further. $\newline$ $2^{8} \times (2^{5}/2^{5}) = 2^{8} \times 1$ .
Multiply Result: Multiply $2^{8}$ by $1$ . $\newline$ Multiplying any number by $1$ does not change the number, so $2^{8} \times 1$ is simply $2^{8}$ .