Q. 2MCQ - Algebra 1

Question

Simplify each expression.

${\left(m^2{p}^5\right)}^{\mathbf{3}}$

Step-by-Step Solution

Answer

The required simplified value is represented by ${\mathit{m}}^{\mathbf{6}}{\mathit{p}}^{\mathbf{15}}$. 

Step 1. Write the variables with the global exponent.

By using the global exponent 3, rewrite the provided expression.

$m^{2\times 3}{p}^{5\times 3}$

Step 2. Simplify the exponential terms.

Perform multiplication between the exponents.

$m^6{p}^{15}$

Step 3. Write the conclusion.

The obtained expression is $m^6{p}^{15}$ which cannot be simplified further so it’s the required simplification.