what is a to the power 6 * b to he power 8
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Answer:
a⁶ ×b⁸
lcm of 6and 18 is 24
a⁶ can be written as (a^¼)²⁴
as law of exponents states
(a^m)^n =a^mn
(a^¼)²⁴ = a^(1/4×24)
= a⁶
therefore they are same.
in the same way
b⁸ can be written as (b^⅓)²⁴
law of exponents states
a^m ×b^m = (ab)^m
therefore
(a^¼)²⁴×(b^⅓)²⁴
= (a^¼ × b^⅓)²⁴
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