Question

Express the given expression in terms of fractional exponents and write it in the form 10^(axb).

A) 2 x 10^(3/2)
B) 2 x 10^(1/2)
C) 2 x 10^(-1/2)
D) 2 x 10^(-3/2)

Answer 1

To express the given expression 2 x 10^(3/2) in terms of fractional exponents and in the form 10^(axb), we can rewrite it as 2 x 10^(3/4).

Step-by-step explanation:

To express the given expression 2 x 10^(3/2) in terms of fractional exponents and in the form 10^(axb), we need to rewrite it using fractional exponents.

First, let's rewrite the given expression using a fractional exponent for the 10. Since the square root of 10 is equal to 10^(1/2), we can rewrite the expression as 2 x (10^(1/2))^(3/2).

Next, applying the rule of exponentiation where (a^b)^c = a^(bc), we can simplify further to get 2 x 10^((1/2) x (3/2)).

Finally, multiplying the fractional exponents, we have 2 x 10^(3/4) which is in the form of 10^(axb).