Q 6. - Algebra 1

Question

Simplify each expression. Assume that no denominator equals 0.

${\left(\frac{2a^4{b}^3}{c^6}\right)}^{\mathbf{3}}$

Step-by-Step Solution

Answer

The required expression is represented by $\frac{{\mathbf{2}}^{\mathbf{3}}{\mathbf{a}}^{\mathbf{12}}{\mathbf{b}}^{\mathbf{9}}}{{\mathbf{c}}^{\mathbf{18}}}$

Step 1. Write the number and each variable with the global exponent.

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

$\left(\frac{2^3{a}^{4\times 3}{b}^{3\times 3}}{c^{6\times 3}}\right)$

Step 2. Simplify the exponential terms.

Perform multiplication between the exponents.

$\frac{2^3{a}^{12}{b}^9}{c^{18}}$

Step 3. Write the conclusion.

The obtained expression is $\frac{2^3{a}^{12}{b}^9}{c^{18}}$ which cannot be simplified further so it’s the required simplification.