Question

Simplify using $a^{m}*a^{n}=a^{m+n}: 10^{3}*10^{7}*10^{5}$

Answer 1

$\sf Answer : \\ \\ \sf 10 {}^{15} \\ \\ \sf Step-by-step \: \: explanation : \\ \\ \sf using \: identity : \\ \\ \boxed{ \bf a {}^{m} *a {}^{n} = a {}^{m + n}} \\ \\ \bf Solution : \\ \\ 10 {}^{3} + 10 {}^{7} + 10 {}^{5} \\ \\ \therefore \: 10 {}^{5}$

Answer 2

Answer :

${10}^{15}$

Explanation :-

Given :

Simplify using $a^{m}*a^{n}=a^{m+n}: 10^{3}*10^{7}*10^{5}$

Using Exponent law :-

xᵃ * xᵇ = xᵃ ⁺ ᵇ

Here, x is known as base and a,b is known as exponents.

When the base is same, we should add the exponents.

${a}^{m} \times {a}^{n} = {a}^{m + n}$

${10}^{3} \times {10}^{7} \times {10}^{5} = {10}^{3 + 7 + 5}$

$= > {10}^{15}$