Question

Please solve this and evaluate the final exponent

Answer 1

1.157 x 10^-19

Explanation:

`(10^(-20)*5^(-3)*125)/(6*5^(-4) *3^(2))`

Simplify the exponents, negative exponents become positive when inversed or flipped to the top or bottom.

`(5^(4)*125)/(6*10^(20)*3^(2)*5^(3))`

Solve the exponents

(625*125)/(6*10^20*9*125)

=625/(54*10^20)

1.157 x 10^-19

Answer 2

`\sf 1.15740741* 10^(-19)`

Explanation:

Let's evaluate the expression using the properties of exponents:

`\sf (10^(-20) * 5^(-3) * 125)/(6 * 5^(-4) * 3^2)`

Apply the properties of exponents:

`\sf (10^(-20) * 5^(-3) * 5^3)/(6 * 5^(-4) * 3^2)`

Combine the terms with the same base:

`\sf (10^(-20) * 5^((-3 + 3)))/(6 * 5^(-4) * 3^2)`

Simplify the exponents:

`\sf (10^(-20) * 5^0)/(6 * 5^(-4) * 3^2)`

Anything raised to the power of 0 is 1:

`\sf (10^(-20) * 1)/(6 * 5^(-4) * 3^2)`

Simplify further:

`\sf (10^(-20))/(6 * 5^(-4) * 3^2)`

Apply the properties of exponents to the denominator:

`\sf (10^(-20))/(6 * (1)/(5^4) * 3^2)`

Simplify:

`\sf (10^(-20))/(6 * (1)/(625) * 9)`

Combine terms:

`\sf (10^(-20))/((54)/(625))`

Invert and multiply:

`\sf 10^(-20) * (625)/(54)`

Simplify further:

`\sf (625)/(54) * 10^(-20)`

`\sf 1.15740741* 10^(-19)`

So, the simplified expression is
`\sf 1.15740741* 10^(-19)`.