Question
EXIT CARD - Rational Exponents - Rewrite each expression using rational exponents. You DO NOT need to evaluate. a) sqrt [3](-64)= b) sqrt [5](243^2)=
Solution
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(259 Votes)
Kinsley
Master ยท Tutor for 5 years
Answer
### a)
### b)
Explanation
## Step 1: Rewrite cube root as rational exponent### The cube root of a number can be rewritten as that number raised to the power of
. Therefore,
can be rewritten as
.## Step 2: Rewrite fifth root and power as rational exponent### The fifth root of a number raised to the power of 2 can be rewritten as that number raised to the power of
. Therefore,
can be rewritten as
.