Question

What expression is equivalent to this equation :
(-3x3y2)(5x5y4)2​

Answer 1

Step-by-step explanation:

To find the expression equivalent to the given equation, you must apply the exponent rule to raise a power to another power.

The given equation is:

(-3x^3y^2)(5x^5y^4)^2

To apply the exponent rule, you need to raise both the base (5x^5y^4) and the exponent (2) to the power of 2:

(-3x^3y^2)[(5x^5y^4)^2]

Now, use the exponent rule by multiplying the exponents:

(-3x^3y^2)(5^2x^(52)y^(42))

Simplify the exponents and the constant:

(-3x^3y^2)(25x^10y^8)

Now, multiply the constants and combine the like terms with the same variables:

-3 * 25 = -75

x^3 * x^10 = x^(3+10) = x^13

y^2 * y^8 = y^(2+8) = y^10

So, the equivalent expression is:

-75x^13y^10