Pre-Algebra Fractional Exponent QuestionWhy does t 3 2 ⋅ t 1 2 = t 2...

Oakey1w

Oakey1w

Answered

2022-06-29

Pre-Algebra Fractional Exponent Question
Why does t 3 2 t 1 2 = t 2 ?
What I tried to do was multiply the exponents together 3 2 1 2 = 3 4 so my final answer was t 3 4 but according to my Wileyplus homework it is t 2 .
Can someone please explain?

Answer & Explanation

lodosr

lodosr

Expert

2022-06-30Added 24 answers

When multiplying two of the same number raised to exponents (such as x 3 2 times x 1 2 ) you add the exponents.
x a x b = x a + b
Only when raising a number to an exponent, and raising the result to an exponent do you multiply exponents together.
( x a ) b = x a b
Note: ( x a ) b x ( a b )
flightwingsd2

flightwingsd2

Expert

2022-07-01Added 5 answers

Just remember this:
a b + a c = a b + c
so in your problem,
a = t , b = 3 / 2 , c = 1 / 2
and
t 3 / 2 + t 1 / 2 = t 1 / 2 + 3 / 2 = t 4 / 2 = t 2
hope this helped!

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