Find: 64^ 1 5 - Vidyadip

Question

Find:${64^{\frac{1}{5}}}$

✓

Answer

${64^{\frac{1}{5}}}$
We know that ${a^{\frac{1}{n}}} = \sqrt[n]{a},{\text{ where }}a > 0.$
We conclude that ${64^{\frac{1}{2}}}$ can also be written as $\sqrt[2]{{64}} = \sqrt[2]{{8 \times 8}}=\sqrt[2]{{64}} = \sqrt[2]{{8 \times 8}} = 8.$
Therefore, the value of ${64^{\frac{1}{2}}}$ will be 8.

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 "1 Marks Question" from Number systems→Number systems — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

A three-wheeler scooter charges $₹ 15$ for first kilometer and $₹ 8$ each for every subsequent kilometer. For a distance of $x$ km, an amount of ₹ $y$ is paid. Write the Linear equation representing the above information.

Classify the following numbers as rational or irrational with justification: $\sqrt[3]{18}$

Find the curved surface area of a right circular cone whose slant height is $10\ cm$ and base radius is $7\ cm$

Factorise :$4 x^2+9 y^2+16 z^2+12 x y-24 y z-16 x z$

Using suitable identity Expand: $\left[\frac{1}{4} a-\frac{1}{2} b+1\right]^{2}$

Rationalise $\frac{1}{\sqrt{3}+\sqrt{2}}.$

Give an example of two irrational numbers whose: Sum is an irrational number.

Expand using appropriate identity: $(-2 x+5 y-3 z)^2$

Expand using suitable identity: $(x+2 y+4 z)^2$

If a point $'C'$ lies between two points $A$ and $B$ such that $AC = BC,$ then prove that $AC =\frac{1}{2}AB$. Explain by drawing the figure.