Question

What is the value of x in the product of powers below?

69.6⁻¹¹*⁻⁷ * 10¹¹
a) 10⁻¹¹
b) 10¹¹
c) -10¹¹
d) -10⁻¹¹

Answer 1

To find the value of x in the product of powers, we need to simplify the expression. The value of x is 10^-7.

Step-by-step explanation:

To find the value of x in the product of powers, we need to simplify the expression.

Given: 69.6-11 * -7 * 1011

First, we can simplify the exponents:

69.6-11-7 * 10^(11)

69.6-18 * 10^(11)

Next, we can rewrite 69.6-18 as 1/69.618:

(1/69.618) * 10^(11)

To simplify further, we can write 1/69.618 as 10-18/(69.6)18:

10-18/(69.6)18 * 10^(11)

Now, we can simplify by adding the exponents:

10-18+11/(69.6)18

10-7/(69.6)18

Therefore, the value of x is 10-7.