Sir Emmy Online Mathematics A. K. A the Calculus

In Mathematics, a 2-dimensional (2D) figure is a flat shape with length and width as the only dimensions.
It's a figure without thickness or depth.
They are: square, rectangle, triangle, circle.

While, a 3-dimensional (3D) figure is a solid shape with length, width, and height (depth).
It occupies space and can be held.
They are: cube, cuboid, sphere, cylinder, cone.

Summarily,
A 2D figures are flat shapes.

While, a 3D figures are solid shapes.
See you in my next post on the properties of 2 and 3 Dimensional figure.
Bye:

Let's discuss about shapes
1. 2-Dimensional Shapes
2. 3-Dimensional Shapes

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Good evening, here are the LAWS of indices, study them as we be using them to solve some problems.
Let's meet in the class

Law 1:
a^m × a^n = a^m+n

It means when you are to multiply two or more numbers written in index form and having same base, write one of the base and add their powers.

Examples, 10^2 × 10^3 = 10^2+3 = 10^5 ANS

Law 2:
a^m ÷ a^n = a^m-n

It means, whenever you are to divide two or more numbers written in index form and having same base, write one of the base and subtract their powers

Examples: 10^5 ÷ 10^3 = 10^5-3 = 10^2

Law 3:
(a^m)^n = a^m×n

It means if an index is raised to the power, then we multiply the two powers

Examples: (10^2)^3 = 10^2×3 = 10^6

Law 4:
a^0 = 1,

i.e any number raised to power of zero is equal to 1

So, 10^0=1, 1000^0=1, a^0=1 etc

Law 5:
a^-n = 1/a^n

It means if the index or power is negative, change the index to positive by taking positive inverse of the index

Examples: 2^-1= 1/2, 5^-1= 1/5 etc

Law 6:
a^m/n = n√a^m

It means, root n into a raise to power m

Examples:
8^2/3= 3√8^2 = 3√8×8 = 3√64 =4 ANS

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