Question

Which expression is equivalent to 8^-3 times 8^-9?
a. 1/8^27
b. 8^-12
c. 8^27
d. 1/8^-12

Answer 1

Answer:

B

Step-by-step explanation:

Multiplying numbers with exponents rule:

${a}^{b} \times {a}^{c} = {a}^{b + c}$

Explanation of rule: keep the base the same and add the exponents. Keep in mind this rule only works when the base of both numbers are the same.

Applying rule: 8^-3 x 8^-9

keep base as 8 and add the exponents

${8}^{ - 3} \times {8}^{ - 9} = {8}^{( - 3) + ( - 9)} = {8}^{ - 12}$

b is the answer