Question

Simplify each expression. Assume that no denominator equals 0.

${\left(\frac{\mathbf{2}{a}^4{b}^3}{c^6}\right)}^0$

Short answer

The expression${\left(\frac{2a^4{b}^3}{c^6}\right)}^0$ can be simplified to 1.

Step-by-step solution

Step 1. Write zero exponent property.

For any nonzero number x, $x^0=1$.

Step 2. Apply zero exponent property.

Apply zero exponent property to the given expression.

$\frac{2^0{\left(a^4\right)}^0{\left(b^3\right)}^0}{{\left(c^6\right)}^0}$

Step 3. Simplify the expression.

Simplify the expression obtained in step 2.

1

Therefore,${\left(\frac{2a^4{b}^3}{c^6}\right)}^0$ can be simplified to 1.