Question

4. Express 9^-3 as a power with the base 3.​

Answer 1

Answer:

Let us proceed step by step to write 9 to the power of 3.

Explanation:

The two crucial terms used frequently in exponents are base and powers.

To find 9 to the power of 3, we can write it in exponent form as 93, where 9 is base and 3 is power.

It means 9 is multiplied 3 times. So, 9 × 9 × 9 = 729.

Hence, 9 to the power of 3 can be expressed as 93 = 9 × 9 × 9 = 729

Answer 2

Solution

$\bf \bigstar \: \underline{ \underline{Given \: that }}$

$\mapsto \: 9 = 3 \times 3 = {3}^{2}$

$\bf \bigstar \: \underline{ \underline{Therefore }}$

$\rm\longrightarrow \: {9}^{ - 3} = ( {3}^{2} {)}^{ - 3} = {3}^{2 \times ( - 3)}$

$\bf\longrightarrow {3}^{ - 6}$$\rm[ \because \: ( {a}^{m} {)}^{n} = {a}^{m n}]$