Chapter 1: Q51. (page 9)

Find the value of $a b^{n}$ iflocalid="1646746061753" $n = 3, a = 2000,$ $b = - \frac{1}{5}$

Short Answer

Expert verified

Value of $a b^{n}$ is $- 16$

Step by step solution

- Substitute given values

Substitute 2000 for $a$ , $- \frac{1}{5}$ for $b$ , and 3 for $n$

$a b^{n} = 2000 {(- \frac{1}{5})}^{3}$

- Order of simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
Evaluate the exponents.
Perform Multiplication and division from left to right.
Perform addition and subtraction from left to right.

- Simplify 2000-153

To evaluate the value of the given expression, first expand the exponentthen perform multiplication as shown below

$\begin{matrix} 2000 {(- \frac{1}{5})}^{3} = 2000 (- \frac{1}{125}) \\ = - \frac{2000}{125} \\ = - 16 \end{matrix}$

Thus, value of $a b^{n}$ is $- 16$

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Find the value of $a b^{n}$ iflocalid="1646746061753" $n = 3, a = 2000,$ $b = - \frac{1}{5}$

Short Answer

Step by step solution

- Substitute given values

- Order of simplification

- Simplify 2000-153

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Find the value ofabniflocalid="1646746061753" n=3,a=2000,b=-15

Short Answer

Step by step solution

- Substitute given values

- Order of simplification

- Simplify 2000-153

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Geometry

Mechanics Maths

Pure Maths

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the value of $a b^{n}$ iflocalid="1646746061753" $n = 3, a = 2000,$ $b = - \frac{1}{5}$