Question

$54 \times x10y5$
​

Answer 1

$\frac{ {5}^{4} {x}^{10} {y}^{5} }{ {5}^{4} {x}^{7} {y}^{4} }$

$= {x}^{3} y$

Answer 2

$\huge\bold{\mathtt{Question⇒}}$

${\frac{5⁴×x¹⁰y⁵}{5⁴×x⁷y⁴}}=?$

$\huge\bold{\mathtt{To\:find⇒}}$

The value.

$\huge\bold{\mathtt{Solution⇒}}$

We know that:

• $\large\boxed{{\frac{a^{b}}{a^{c}}}=a^{(b-c)}}$

${\frac{5⁴×x¹⁰y⁵}{5⁴×x⁷y⁴}}$

$={\frac{\cancel{5⁴}×x¹⁰y⁵}{\cancel{5⁴}×x⁷y⁴}}$

$={\frac{x¹⁰y⁵}{x⁷y⁴}}$

$=x^{(10-7)}y^{(5-4)}$

$=x^{3}y^{1}$

$=x^{3}y$

$\huge\bold{\mathtt{Hence⇒}}$

${\frac{5⁴×x¹⁰y⁵}{5⁴×x⁷y⁴}}=x^{3}y$

$\huge\bold{\mathtt{Therefore⇒}}$

The value of ${\frac{5⁴×x¹⁰y⁵}{5⁴×x⁷y⁴}}$ is $x^{3}y.$

$\huge\bold{\mathtt{Done}}$

$\large\bold{\mathtt{Hope\:this\:helps\:you.}}$

$\large\bold{\mathtt{Have\:a\:nice\:day.}}$