Simplify.
8x^7y^4 over 2x³y²
a. 16x³y^4
b. 16x^4y²
c. 4x³y^4
d. 4x^4y²
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remember that a^b *a^c/a^d= a^(b+c-d) ?
8x^7y^4/(2x^3y^2)= 4 (x^(7-3))(y^(4-2))
To simplify the expression (8x^7y^4) / (2x^3y^2), you can divide the coefficients and subtract the exponents of variables with the same base.
Step 1: Divide the coefficients: 8 / 2 = 4
Step 2: Subtract the exponents of x: 7 - 3 = 4
Step 3: Subtract the exponents of y: 4 - 2 = 2
Therefore, the simplified expression is 4x^4y^2, which corresponds to option b.
Therefore, the correct answer is b. 16x^4y².