Question

7. Which simplified expression represents the expression below? * 102" (102c)-2 31-5 10^-1x^2 1/4 0 x2 o none of these

Answer 1

You have the following expression:

10x⁴(10x)⁻²

in order to simplify the previous expression proceed as follow:

10x⁴(10x)⁻² = 10x⁴/(10x)² = 10x⁴/10²x²

by simplifying the previous fraction, you obtain:

10x⁴/10²x² = 10⁻¹x²

where you have taken into account that the quotient between factors with different exponents, is equal to the same factor powered to the difference of the exponents:

Hence, the answer is:

10⁻¹x²