Question
Divide: $\frac{64 x^2 y^2}{z^2}$ by $\frac{8 x y}{z}$
✓
Answer
$\frac{64 x^2 y^2}{z^2} \div \frac{8 x y}{z}$
$=\frac{8 \times 8 \times x^2 \times y^2}{z^2} \times \frac{z}{8 \times x \times y}$
$=\frac{8 x^{2-1} y^{2-1}}{z^{2-1}}$
$=\frac{8 x y}{z}$
$=\frac{8 \times 8 \times x^2 \times y^2}{z^2} \times \frac{z}{8 \times x \times y}$
$=\frac{8 x^{2-1} y^{2-1}}{z^{2-1}}$
$=\frac{8 x y}{z}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Using a number line, find the integer which is 7 less than -8
Find the approximate quotient for each of the following : $865 \div 38$
→Name all possible angles in the adjoining figure
If $y = 5$ and $z = 2$, evaluate:
$5y^2$
→$5y^2$
Add: $\frac{1}{3} x^2 y, 3 x^2 y$
→Evaluate:
5ab − 2ab − 8ab + 6ab
5ab − 2ab − 8ab + 6ab
Estimate the following product by rounding off each number to the nearest ten:
63 x 38
63 x 38
Express:
90 cm as a percent of 4.5 m.
90 cm as a percent of 4.5 m.
Which is smaller 2497 or 2597?
Simplify : $68.3-102.735+217.96-37.7$
→