Question

question
fully simplify.
7x^{5}y^{5}(14x^{4}y^{2})

Explanation:

Step1: Multiply coefficients

Multiply 7 and 14: $7\times14 = 98$.

Step2: Apply exponent - rule for $x$ terms

Use the rule $a^m\times a^n=a^{m + n}$ for $x$ terms. So, $x^5\times x^4=x^{5 + 4}=x^9$.

Step3: Apply exponent - rule for $y$ terms

Use the rule $a^m\times a^n=a^{m + n}$ for $y$ terms. So, $y^5\times y^2=y^{5+2}=y^7$.

Step4: Combine results

Combine the coefficient and the variable terms. The simplified form is $98x^9y^7$.

Answer:

$98x^9y^7$