Question

Упростить выражение (-2x^7y^3)^5

Answer 1

(-2x^7)^5*(y^3)^5= - 32x^35 * y^15

Answer 2

To simplify the expression (-2x^7y^3)^5, you need to apply the power rule of exponents. When raising a power to another power, you multiply the exponents. Here's how to do it step by step:

Step 1: Apply the power rule to each factor inside the parentheses. (-2x^7y^3)^5 = (-2)^5 * (x^7)^5 * (y^3)^5

Step 2: Simplify the exponents. (-2)^5 = -32 (x^7)^5 = x^(75) = x^35 (y^3)^5 = y^(35) = y^15

Step 3: Put everything together. (-2x^7y^3)^5 = -32x^35y^15

So, the simplified expression is -32x^35y^15.