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- If 2^x * 8^(1/4) = 2^(1/4) then find the value of x
Question 1:
If 2^x * 8^(1/4) = 2^(1/4) then find the value of x A. –1/2
Feedback 2^x × 8^(1/4) = 2^(1/4)
As bases are not equal we cannot add the indices, hence first convert all the numbers with same base.
2^x × (2^3)^(1/8) = 2^(1/4)
Law of Indices (x^m)^n = x^mn
2^x × 2^(3/4) = 2^(1/4)
2^[x + (3/4)] = 2^(1/4)
x +3/4 = 1/4
x = 1/4 –3/4= –2/4= –1/2
As bases are not equal we cannot add the indices, hence first convert all the numbers with same base.
2^x × (2^3)^(1/8) = 2^(1/4)
Law of Indices (x^m)^n = x^mn
2^x × 2^(3/4) = 2^(1/4)
2^[x + (3/4)] = 2^(1/4)
x +3/4 = 1/4
x = 1/4 –3/4= –2/4= –1/2
B. 1/2
C. 1/4
D. -1/4
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