Question

The exponential form of 81/ 625

Answer 1

Answer:

3/5)^4.

Step-by-step explanation:

81=3*3*3*3=3^4

625=5*5*5*5=5^4

Then,81/625 can be written as 3^4/5^4 i.e, (3/5)^4.

Therefore the exponential form of 81/625 can be written as (3/5)^4.

Answer 2

Answer:

We will get the exponential form of $\frac{81}{625}$ is $\left(\frac{3}{5}\right)^{4}.$

Step-by-step explanation:

• As per the question we have to evaluate the given data.

          Given data:- $\frac{81}{625}.$

          To find:- The exponential form of $\frac{81}{625}.$

          Solution:-

• We know that the exponential form is a shortcut way of writing repeated multiplication involving base and exponents.
• for example,

        $\begin{array}{l}8=2 \times 2 \times 2=2^{3} \\72=2 \times 2 \times 2 \times 3 \times 3=2^{3} \times 3^{2} \\121=11^{2}\end{array}$

• These are the exponential forms of the corresponding numbers.

       Therefore,

        $81=9^{2} \\625=25^2\\9 =3^{2} \\25=5^{2}$

       so that we get,

         $\begin{array}{l}\frac{81}{625} \\\\=\frac{9^{2}}{25^{2}} \\\\=\frac{\left(3^{2}\right)^{2}}{\left(5^{2}\right)^{2}} \\\\=\frac{3^{4}}{5^{4}} \\\\=\left(\frac{3}{5}\right)^{4}\end{array}$