Question

Simplify. 4x⁻⁸*2w⁵x¹⁰yw⁻⁶*2y⁵ Use only positive exponents in your answer.

Answer 1

To simplify the given expression, we multiply the constants, combine and add the exponents of like terms, and ensure all exponents are positive. The simplified expression is 16x²y⁶/w.

Step-by-step explanation:

To simplify the expression 4x⁻⁸*2w⁵x¹⁰yw⁻⁶*2y⁵ using only positive exponents, we must first combine like terms and apply the rules of exponents.

Let's break down the expression:

• First, combine the constants: 4*2*2 = 16
• Multiply the x terms: x⁻⁸ * x¹⁰ = x⁻⁸+¹⁰ = x²
• Multiply the w terms: w⁵ * w⁻⁶ = w⁵⁻⁶ = w⁻¹
• Multiply the y terms: y * y⁵ = y¹⁺⁵ = y⁶

Now, we rewrite the expression with positive exponents only. For w⁻¹, we can take its reciprocal to make the exponent positive: w⁻¹ = 1/w.

The simplified expression is:

16x²y⁶/w