Simplification

Rumman Ansari Software Engineer 2024-07-28 08:47:00 149 Share
Subject Syllabus Details Subject Details

☰ TContent

☰Fullscreen

Simplification Formulas

The basic arithmetic operations include addition, subtraction, multiplication, and division.

a + b = b + a

a - b \neq b - a

a \times b = b \times a

\frac{a}{b} \neq \frac{b}{a}

The BODMAS/BIDMAS rule is used to determine the order of operations in a mathematical expression.

\frac{a}{b} + \frac{c}{d} = \frac{a d + b c}{b d}

\frac{a}{b} - \frac{c}{d} = \frac{a d - b c}{b d}

\frac{a}{b} \times \frac{c}{d} = \frac{a c}{b d}

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{a d}{b c}

\sqrt{a}

\sqrt[3]{a}

a^{b} = a \times a \times \dots \times a (b times)

(a^{m})^{n} = a^{m n}

a^{m} \times a^{n} = a^{m + n}

\frac{a^{m}}{a^{n}} = a^{m - n}

\log_{b} (a) = c ⟺ b^{c} = a

\log_{b} (x y) = \log_{b} (x) + \log_{b} (y)

\log_{b} (\frac{x}{y}) = \log_{b} (x) - \log_{b} (y)

\log_{b} (x^{y}) = y \log_{b} (x)

There are 1 MCQs available for this topic.

1 MCQ

No Questions Data Available.

No Program Data.

Uploaded On: 2024-10-16 02:19:04

Uploaded On: 2024-07-08 12:13:42

Uploaded On: 2024-08-10 02:53:03