Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

directions: answer the questions provided. 1. write y^{-3}z^{-4} with o…

Question

directions: answer the questions provided. 1. write y^{-3}z^{-4} with only positive exponents. 2. s 12m

Explanation:

Step1: Apply negative - exponent rule

Recall the rule $a^{-n}=\frac{1}{a^{n}}$. For $y^{-3}$, it becomes $\frac{1}{y^{3}}$, and for $z^{-4}$, it becomes $\frac{1}{z^{4}}$.

Step2: Combine the terms

$y^{-3}z^{-4}=\frac{1}{y^{3}}\times\frac{1}{z^{4}}=\frac{1}{y^{3}z^{4}}$

Answer:

$\frac{1}{y^{3}z^{4}}$