Question

Write the cubes of the number from 1 to 30

Answer 1

$\red{\bigstar} \; \Large{\underline{\underline{\frak{\pmb{Required \; Answer}}}}}$

$\begin{gathered} \boxed{ \boxed { \begin{array}{ |c |c| c| } \sf{ 1^2 = 1} & \sf{11^2 = 121} & \sf{21^2 = 441} \\ \\ \sf{2^2 = 4 }& \sf{12^2 = 144} & \sf{22^2 = 484} \\ \\ \sf{3^2 = 9}& \sf{13^2 = 169} & \sf{23^2  = 529} \\ \\ \sf{4^2 = 16 }&\sf{14^2 = 196} &  \sf{24^2= 576} \\ \\ \sf{5^2 = 25}&\sf{15^2 = 225} & \sf{25^2 = 625} \\ \\ \sf{6^2 = 36 } &\sf{ 16^2= 256 } & \sf{26^2 = 676} \\ \\ \sf{7^2 = 49} & \sf{17^2 = 289} & \sf{27^2 = 729} \\ \\ \sf{8^2 = 64} & \sf{18^2 = 324} & \sf{28^2 = 784} \\ \\ \sf{9^2 = 81} & \sf{19^2 = 361} & \sf{29^2 = 841} \\ \\ \sf{10^2 = 100} & \sf{20^2 = 400 } & \sf{30^2 = 900} \end{array}}}\end{gathered}$

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* ⁺◦﹆◞˚ ꒰ More to know ꒱

 

❖ Base & Index

Example: 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2: Here, 2 is multiplied by itself 8 times. This is written as 2⁸ in short. This is the index form of multiplication.

Here, 2 is called the base, and 8, the index or the exponent.

Example: 5 × 5 × 5 × 5 = 5⁴

Here 5⁴ is in the index form. In the number ‘5 raised to the power 4’ or ‘5 raised to 4’, or ‘the 4th power of 5’.

Generally, if α is any number, α × α × α × ...(m times)  = αᵐ

Read αᵐ as ‘α raised to the power m’ or ‘the mᵗʰ power of α’. Here m is a natural number.

∴ 5⁴  = 5 × 5 × 5 × 5 = 625. Or, the value of the number 5⁴ = 625.

Similarly,

$\sf {\bigg [ \dfrac{-2}{3} \bigg ] = \dfrac{-2}{3} \times \dfrac{-2}{3} \times \dfrac{-2}{3} = \dfrac{-8}{27} \; means \; that \; the \; value \; of \; \bigg [ \dfrac{-2}{3}\bigg ]^3 is \; \dfrac{-8}{27} .}$

Note that,

• 7¹ = 7, 10¹ = 10.

The first power of any number is that number itself.

Henceforth, α¹ = α

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Apologies for the mistakes <3