Question
Simplify the exponential form: $(-3)^{4} \times\left(\frac{5}{3}\right)^{4}$
✓
Answer
\begin{aligned} (-3)^4 \times\left(\frac{5}{3}\right)^4 & =(-1 \times 3)^4 \times \frac{5^4}{3^4}=(-1)^4 \times 3^4 \times \frac{5^4}{3^4} \\ & =(-1)^4 \times 5^4=5^4 \quad\left[(-1)^4=1\right]\end{aligned}
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
Factorise the following expressions.
$ 3 p q r-6 p^2 q^2 r^2-15 r^2 $
→$ 3 p q r-6 p^2 q^2 r^2-15 r^2 $
Evaluate: $\sqrt{10404}$
→ The sum of first n natural numbers is given by the expression $\frac{\text{n}^2}{2}+\frac{\text{n}}{2}$. Factorise this expression.
→What will be the height of a cuboid of volume $168\ m^3$, if the area of its base is $28\ m^2?$
→a $(x2^4)$ machine followed by $\Big(\text{x}\big(\frac{1}{2}^{}\big)^2\Big)$ machine.
→Juhi sells a washing machine for $₹ 13,500$. She loses $20 \%$ in the bargain. What was the price at which she bought it?
→The diagram shows the wingspans of different species of birds. Use the diagram to answer the question given below:
$a.$ How much longer is the wingspan of an Albatross than the wingspan of a Sea gull?
$b.$ How much longer is the wingspan of a Golden eagle than the wingspan of a Blue jay?
→$a.$ How much longer is the wingspan of an Albatross than the wingspan of a Sea gull?
$b.$ How much longer is the wingspan of a Golden eagle than the wingspan of a Blue jay?
Factorise: $9x^2y^2– 16$
→The shorter side of a parallelogram is $4.8\ cm$ and the longer side is half as much again as the shorter side. Find the perimeter of the parallelogram.
→Write the following numbers in standard form: $0.00000083$
→