Question

Which statements are true regarding the expression below? Check all that apply. 8^-1×8^-3×8

○the last factor,8, with no exponent shown is equivalent to 8^0
○the sum of the exponents is -3
○ the value of the expression is -512
○the value of the expression is 1/512
○an equivalent expression is 8^7×8^-10
○ an equivalent expression is 8^-2×8^-2 ​

Answer 1

D and E are true.

Explanation:

a) 8 with no power is not equivalent to 8^0 => FAULSE

b) the of the exponents is -4 => FAULSE

c) the value of the expression is not equal to -512 => FAULSE

d) (YES) the value of the expression is 1/512

e) (YES) an equivalent expression is 8^7 * 8^-10

f) is not an equivalent expression is 8^-2×8^-2 => FAULSE