Download App

Exponents and Powers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers1 Mark
MCQ
$\Big(\frac{-1}{3}\Big)^3\div\Big(\frac{-1}{5}\Big)^8$ is equal to:
  • A
    $\Big(\frac{-1}{5}\Big)^{5}$
  • B
    $\Big(-\frac{1}{5}\Big)^{11}$
  • ✓
    $(-5)^5 $
  • D
    $\Big(\frac{1}{5}\Big)^{5}$
✓

Answer

Correct option: C.
$(-5)^5 $
We have:
$\Big(\frac{-1}{5}\Big)^3\div\Big(\frac{-1}{5}\Big)^8$
$=\Big(\frac{-1}{5}\Big)^{3-8}$
$=\Big(\frac{-1}{5}\Big)^{-5}$
$=\frac{1}{\big(\frac{-1}{5}\big)^5}$
$=\frac{1}{\big(\frac{(-1)^5}{5^5}\big)}$
$=\frac{5^5}{(-1)^5}$
$=\Big(\frac{5}{-1}\Big )^5$
$=(-5)^5$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q. [1 Marks Each]" from Exponents and Powers→Exponents and Powers — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

If marked price of an article is $Rs. 1,200$ and the discount is $12\%$ then the selling price of the article is:
→
The square of which of the following numbers will be even?
→
The degree of the equation $x^2 - 2x + 1 = x^2 - 3$ is:
→
Which of the following is the cube root of $-\frac{64}{343}$?
→
The price of watch including $10 \%$ VAT is ₹ 825 . What is its basic price?
→
What is the solution of the given equation: $3(x - 3) = 4(2x + 4)$
→
Mark $(\checkmark)$ against the correct answer: $12x^2+ 60x + 75 = ?$
→
The factorisation of $x^{2} y^{2}+x y+x y^{2} z+y z+x^{2} y z+x z$ is
→
The cost of $5$ metres of a particular quality of cloth is Rs. $210$. Find the cost of $2$ metres of cloth of the same type.
→
Tick $(\checkmark)$ the correct answer in the following: $(180\%$ of $?) ÷ 2 = 504$.
→