Question

By what number should 2 raise to -3 be multiplied so that the product is 16?

Answer 1

Answer:

let the required number be x,

according to question,

${2}^{ - 3} \times x = 16 \\ = > \frac{1}{ {2}^{3} } \times x = {2}^{4} \\ = > x = {2}^{4} \times {2}^{3} \\ = > x = {2}^{4 + 3} \\ = > x = {2}^{7} .$

so required number is 2^7 or 128.

Answer 2

Answer:

Step-by-step explanation:let the unknown number be x

2^-3 × x = 16

1 upon 2 raise to the power +3 × x = 16

x = 16 ÷1 upon 8

x = 2

write it in a copy you will understand better