10 To The Minus 10

Ability of 10: Negative Exponent

Introduction

In this lesson, nosotros deal with problems involving expressions with ten as base having negative exponents.

Rules to find the negative exponent of 10

Suppose we take an expression having x^-n.

In normal form the value of x^-n is found by multiplying the base of operations
10 'n' times in the denominator and putting a 1 in the numerator.
We use a shortcut to solve such trouble. Nosotros wait at the exponent and then write a decimal point followed by every bit many zeros equally one less than exponent and a 1.

Problem 1:

Evaluate 10^-3

Pace 1:

Here we have an expression involving power of x with a negative exponent.

The base is ten and the exponent is −3.

Step ii:

In normal course the value of 10^-three tin be establish by multiplying the base 10 3 times in the denominator and putting a ane in the numerator.

10^-3 = = 0.001

Step 3:

Using a shortcut, we find that the exponent is -three. Nosotros write a decimal signal followed by two (one less than 3) zeros and a 1.

And then 10^-3 = 0.001

Problem 2:

Evaluate 10^-5

Step i:

Here we have an expression involving power of x with a negative exponent.

The base is 10 and the exponent is −5.

Stride 2:

In normal course the value of 10^-v is found by multiplying the base of operations 10 five times in the denominator and putting a 1 in the numerator.

10^-5 = = 0.00001

Step 3:

Using a shortcut, we detect the exponent is -v. Nosotros write a decimal point followed by iv (one less than 5)zeros and a 1.

So 10^-5 = 0.00001

Source: https://www.tutorialspoint.com/ordering_rounding_and_order_of_operations/power_of_10_negative_exponent.htm