Simplify : [2^(9)×3^(5)×5^(4))/(2^(7)×3^(4)×5^(3)]

Simplify using exponents: Use the properties of exponents to simplify the expression by subtracting the exponents of like bases in the numerator and denominator. (2^(9-7)×3^(5-4)×5^(4-3))Subtract exponents: Perform the subtraction for each base. (2^2×3^1×5^1)Calculate base values: Calculate the value for each base raised to its respective power. (4×3×5)Multiply for final answer: Multiply the values together to get the final answer. 4×3×5 = 60

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify :
[2^(9)×3^(5)×5^(4))/(2^(7)×3^(4)×5^(3)]

Simplify : $\newline$ $\frac{2^{9}\times3^{5}\times5^{4}}{2^{7}\times3^{4}\times5^{3}}$

View step-by-step help

Full solution

Q. Simplify :

\newline

\frac{2^{9}\times3^{5}\times5^{4}}{2^{7}\times3^{4}\times5^{3}}

Simplify using exponents: Use the properties of exponents to simplify the expression by subtracting the exponents of like bases in the numerator and denominator. $\newline$ $(2^{9-7}\times3^{5-4}\times5^{4-3})$
Subtract exponents: Perform the subtraction for each base. $\newline$ $(2^{2}\times3^{1}\times5^{1})$
Calculate base values: Calculate the value for each base raised to its respective power. $\newline$ $(4\times3\times5)$
Multiply for final answer: Multiply the values together to get the final answer. $4\times3\times5 = 60$