Question

Which of the following is equivalent to the expression below? 9^10*9^x

Answer 1

`\small \sf \leadsto 9 {}^(10 +x)`

Explanation:

Using exponent's product rule

`\small \sf \: x {}^(n) * x {}^(m) = x {}^(n + m)`

`\small \sf \leadsto \: 9 {}^(10) * 9 {}^(x)`

`\small \sf \leadsto 9 {}^(10 + x)`

Answer 2

Explanation:

`a^(m)*a^(n)=a^(m+n)\\\\9^(10)*9^(x)=9^(10+x)`

In exponent multiplication, if the bases are same then add the exponents.