Question

Which number is equivalent to 3^4/3^2 ?

Answer 1

Step-by-step explanation:

3^4/3^2

=3^4-2

=3^2

=9

Answer 2

Given fraction is equivalent to 9

Step-by-step explanation:

• Given number are

        $\mathbf{\frac{3^{4}}{3^{2}}}$

• Multiply by $\mathbf{3^{-2}}$ in numerator and denominator, we will get

        $\mathbf{\frac{3^{4}\times 3^{-2}}{3^{2}\times 3^{-2}}}$

• Exponent will add on multiplication if base is same.So we will get

        $\mathbf{\frac{3^{4-2}}{3^{2-2}}}$

• On solving exponent, we will get

        $\mathbf{\frac{3^{2}}{3^{0}}}$

• If a number have exponent zero, its value is equal to 1.So

        $\mathbf{\frac{3^{2}}{1}}$

• So

        3² = 9