Question

What is the simplified form of (20a⁴ᵇ⁻³ * 8a⁻⁷b⁻⁷)⁻²?

Answer 1

The simplified form of (20a⁴ᵇ⁻³ * 8a⁻⁷b⁻⁷)⁻² is 1/6400a⁻²ᵇ⁶.

Step-by-step explanation:

The simplified form of (20a⁴ᵇ⁻³ * 8a⁻⁷b⁻⁷)⁻² is 1/6400a⁻²ᵇ⁶.

To simplify the expression, we need to distribute the exponent -2 to each term inside the parentheses.

When we do this, we get (20⁻²a⁻⁸b⁻⁶ * 8⁻²a¹⁴b¹⁴).

Now, we can combine the like terms by multiplying the coefficients and adding the exponents.

This gives us 1/400a⁻²ᵇ⁶.