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(28y⁷xy³) ÷ 10y⁵

October 28, 2026Mathematics

ScanSolve AI Answer

Answer

2xy^5

4 steps

The expression given is $(28y^7 x y^3) \div 14y^5$ .

Simplify the terms inside the parenthesis.
When multiplying terms with the same base, add their exponents.
$28y^7 x y^3 = 28x y^{7+3} = 28x y^{10}$
Rewrite the expression as a fraction.
$\frac{28x y^{10}}{14y^5}$
Divide the coefficients and the variables separately.
Divide the numerical coefficients:
$\frac{28}{14} = 2$
Divide the $y$ terms using the rule $\frac{a^m}{a^n} = a^{m-n}$ :
$\frac{y^{10}}{y^5} = y^{10-5} = y^5$
The $x$ term remains as is.
Combine the simplified parts.
$2x y^5$