Q26. - Algebra 1

Question

Simplify the given expression. Assume that no denominator equals zero.

${\left(\frac{6x{y}^{11}{z}^9}{48x^{6}y{z}^{-7}}\right)}^0$

Step-by-Step Solution

Answer

The final expression is 1.

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

Step 2. Define the meaning of zero exponent.

Zero exponent means for any non-zero real number raised to the power of 0 is equal to 1.

Step 3. Simplify the expression 6 x y 11 z 9 48 x 6 y z − 7 0 .

Use the property of zero exponent.

${\left(\frac{6x{y}^{11}{z}^9}{48x^{6}y{z}^{-7}}\right)}^0=1$

This is the final simplified expression.

 

Therefore the final expression is 1.