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Use the Power Rule of Exponents to simplify the expression (78^8)^6.(1 point)
To simplify the expression, we can use the Power Rule of Exponents which states that (a^b)^c = a^(b*c).
Applying this rule, we have:
(78^8)^6 = 78^(8*6) = 78^48
So, (78^8)^6 simplifies to 78^48.
To simplify the expression (78^8)^6 using the Power Rule of Exponents, we can multiply the exponents.
Applying the Power Rule of Exponents, we can first raise 78 to the power of 8 to get:
78^8 = 43,316,406,250,000
Then, we raise this result to the power of 6:
(78^8)^6 = (43,316,406,250,000)^6
To simplify this expression, we multiply the exponents:
(43,316,406,250,000)^6 = 43,316,406,250,000^6
Therefore, the simplified expression is 43,316,406,250,000^6.