Simplify the expression. Write the result using positive exponents.

Ask by Hodges Davey. in the United States

Jan 23,2025

Question

Simplify the expression. Write the result using positive exponents. $$ \frac{2^{-3} x^{-5}}{2^{3} x} $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \frac{2^{-3} x^{-5}}{2^{3} x} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{2^{-3}x^{-5}}{2^{3}x}$$
- step1: Multiply by $$a^{-n}:$$
  $$2^{-3}x^{-5}	imes 2^{-3}x^{-1}$$
- step2: Multiply the terms:
  $$2^{-3-3}x^{-5}	imes x^{-1}$$
- step3: Subtract the numbers:
  $$2^{-6}x^{-5}	imes x^{-1}$$
- step4: Multiply the terms:
  $$2^{-6}x^{-5-1}$$
- step5: Subtract the numbers:
  $$2^{-6}x^{-6}$$
- step6: Evaluate the power:
  $$\frac{1}{64}x^{-6}$$
- step7: Simplify:
  $$\frac{1}{64x^{6}}$$
The simplified expression is $$ \frac{1}{64x^{6}} $$.
The simplified expression is $$ \frac{1}{64x^{6}} $$.

Simplify the expression. Write the result using positive exponents.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Algebra Questions