Simplify: root(4)(36a^2b^8) . Assume all variables are positive real numbers.

Identify fourth root components: Identify the fourth root of each component in the expression. The fourth root of a number or variable is the number that, when raised to the power of 4, gives the original number or variable. We will apply this to each part of the expression: 36, a^2, and b^8.Calculate fourth root of 36: Calculate the fourth root of the constant 36. The fourth root of 36 is the number that when raised to the power of 4 equals 36. This number is 3 because 3^4 = 81. This is a mistake, as the correct fourth root of 36 is actually 6 because 6^4 = 1296.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify: $\sqrt[4]{36a^2b^8}$ . Assume all variables are positive real numbers.

View step-by-step help

Home

Math Problems

Grade 8

Multiply powers: variable bases

Full solution

Q. Simplify:

\sqrt[4]{36a^2b^8}

. Assume all variables are positive real numbers.

Identify fourth root components: Identify the fourth root of each component in the expression. $\newline$ The fourth root of a number or variable is the number that, when raised to the power of $4$ , gives the original number or variable. We will apply this to each part of the expression: $36$ , $a^2$ , and $b^8$ .
Calculate fourth root of $36$ : Calculate the fourth root of the constant $36$ . The fourth root of $36$ is the number that when raised to the power of $4$ equals $36$ . This number is $3$ because $3^4 = 81$ . This is a mistake, as the correct fourth root of $36$ is actually $6$ because $6^4 = 1296$ .