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(4 x 4 x 4 x 4 x 4 x 4) 5 x (4 x 4 x 4 ) 8 ÷ (4) 3 = (64) ?

Correct Answer: 17

Explanation:

(4 x 4 x 4 x 4 x 4 x 4)5 x (4 x 4 x 4)8 ÷ (4)3 = (64)?
Apply the law of Fractional Exponents and Laws of Exponents
if a multiply n times a x a x a x....up to n times, then
a x a x a x a ......up to n times = an
By simplifying the equation
⇒ (46)5 x (43)8 x 1/(4)3 = (43)?
⇒ (4)30 x (4)24/(4)3 = (4)3 x ?
⇒ 430 + 24 - 3 = 43 x 7
And comparing the exponents both the sides
⇒ 451 = 43 x ? ⇒ 3 x ? = 51
∴ ? = 51/3 = 17


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