2 * 8 to the negative 2 power

Question

2 * 8^-2

 

Answer 1

Hi Mariah,

 

Remember that 8^-2 is equal to 1/(8^2). (This is true when you raise any number to a negative exponent, for example 3^-2 = 1/(3^2) = 1/9.) 1/(8^2) is equal to 1/64. When you multiply 1/64 by 2, you get 2/64. You can reduce this to 1/32 because you can divide both the numerator and denominator by 2. 

 

Hope this helps!

 

Jill D.

Answer 2

you raise to a power before you multiply

2*8^(-2)

2*(1/[8^2])

2*(1/64)

2/64

1/32 is the final answer

Answer 3

2*8^(-2) = 2*(2^3)^(-2) = 2^(-5) = 1/32