Question

Select the option that would be equal to $9^8$.

• A. $9^4\times 9^2$
• B. $9^4\times 9^4$
• C. $9^4\times 9^6$
• D. $9^4\times 9^5$

Answer 1

The correct option is B $9^4\times 9^4$

Multiplication of numbers with same base and different exponents is performed by adding the exponents over the common base.
a. $9^4\times 9^2=9^{4+2}=9^6$
b. $9^4\times 9^4=9^{4+4}=9^8$
c. $9^4\times 9^6=9^{4+6}=9^{10}$
d.$9^4\times 9^5=9^{4+5}=9^9$
(b) is the correct option.