Question

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

Answer 1

Answer:

Step-by-step 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.

Answer 2

$\small \sf \leadsto 9 {}^{10 +x}$

Step-by-step explanation:

Using exponent's product rule

$\small \sf \: x {}^{n} \times x {}^{m} = x {}^{n + m}$

$\small \sf \leadsto \: 9 {}^{10} \times 9 {}^{x}$

$\small \sf \leadsto 9 {}^{10 + x}$