Q. Given x>0, the expression 8x48 is equivalent tox68xx5x6x58x
Rewrite expression: We are given the expression 8x48 and we need to simplify it. The 8th root of a number is the same as raising that number to the power of 81. So, we can rewrite the expression as (x48)81.
Apply power rule: Now we apply the power rule for exponents, which states that a^{m})^{n} = a^{m*n}\. In this case, we have \(x^{\(48\)})^{\frac{\(1\)}{\(8\)}} = x^{\(48\) * \frac{\(1\)}{\(8\)}}\
Perform multiplication: We perform the multiplication in the exponent: \(48 \times \frac{1}{8} = 6. So, the expression simplifies to x(6).
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