Question

In which expression should the exponents be multiplied? (53)−4 one third to the 4th times one third to the 7th 3 to the 7th over 3 to the 15th 45 ⋅ 42

Answer 1

Answer:

$(5^3)^{-4}$.

Step-by-step explanation:

According to the power rule, exponents can be multiplied when we have a number base that has an exponents which is raised to another power.

The following illustrates how to apply the power rule where multiplication of exponents is to be done:

$(x^a)^b = x^{a*b} = x^{ab}$, where, x is the base number, a and b are exponents respectively.

From the options given, the expression where the exponents are required to be multiplied is $(5^3)^{-4} = 5^{3*-4} = 5^{-12}$.