Question

(a/b)m*(a/b)n solve it and tell what is the answer​

Answer 1

The number of times a number is multiplied by itself is referred to as an exponent.

For example

$2^3=2\times 2\times2=8$

Many mathematical problems involving repeated multiplication processes are solved by using the laws of the exponent.

According to the question we have,

$(\frac{a}{b} )^m\times (\frac{a}{b} )^n$

where, as

$(\frac{a}{b} )^m$= raised the power of m,

$(\frac{a}{b} )^n$= raised the power of n.

Therefore, by the law of the exponent

$(\frac{a}{b} )^m\times (\frac{a}{b} )^n=(\frac{a}{b})^{(m+n)}$

Answer 2

Answer:

$(\frac{a}{b})^{m+n}$

Step-by-step explanation:

• Given equation is $(\frac{a}{b})^{m} *(\frac{a}{b})^{n}$
• Herem, the bases of both the terms is same i.e. $\frac{a}{b}$
• In such cases, the exponent rule product of power says that add the powers together when multiplying same bases.
• ∴ $(\frac{a}{b})^{m} *(\frac{a}{b})^{n} = (\frac{a}{b})^{m+n}$