**In this post, we will discuss the list of Exponent Formulas with few solved examples which will help you save time in IBPS PO Exam**

Before moving on further, quickly revise the basics of Number System to understand the structure of numbers.

**What is Exponent and Powers?**

Exponents are the repeated multiplication of any number. The number 1,00,000 can be written as 10

^{5}. Thus, when 10 is multiplied 5 times we get 1,00,000. It is read as 10 raised to the power of 5.
The distance between the Sun and Earth is 149,6900,000 km.

The mass of the Sun is 1,989,000,000,000,000,000,000,000,000,000 kg.

The size of the hydrogen atom is 0.00000000000106m.

Do you see how huge these numbers are? Can you memorize them? Therefore, with the help of exponents and powers, these numbers can be compressed and can be easily expressed in powers of 10.

The mass of the Sun is 1,989,000,000,000,000,000,000,000,000,000 kg.

The size of the hydrogen atom is 0.00000000000106m.

Do you see how huge these numbers are? Can you memorize them? Therefore, with the help of exponents and powers, these numbers can be compressed and can be easily expressed in powers of 10.

Distance between the Sun and the Earth 149,600,000 = 1.496× 10 × 10 × 10 × 10 × 10× 10 × 10 = 1.496× 10

Mass of the Sun: 1,989,000,000,000,000,000,000,000,000,000 kg = 1.989 x 10

^{8}kilometers.Mass of the Sun: 1,989,000,000,000,000,000,000,000,000,000 kg = 1.989 x 10

^{30 kg}
Size of a hydrogen atom: 0.00000000000106 meters = 1.06 × 10

^{-12}meters.
List of Exponent Formulas

**Exponent Example solved using Exponent Formulas**

**Question:**2

^{0.2 }x 64 x 8

^{1.3 }x 4

^{0.2}= 8

^{?}

**Solution:**

**Step 1:**

In this question, we need to find the power of 8. As we know, the base of the right-hand side should be equal to the left-hand side; we need to make all the bases equal.

2

^{0.2}and^{ }4^{0.2}can be expressed as
a

^{m}x b^{m}= (a x b)^{m}
(2 x 4)

^{0.2 }**Step 2:**

(2 x 4)

^{0.2 }x^{ }64 x 8^{1.3 }= 8^{?}
8

^{0.2 }x^{ }64 x 8^{1.3 }= 8^{?}**Step 3:**

We know that 64 can be expressed in the power of 8

64 = 8

^{2}**Step 4:**

8

^{0.2 }x^{ }8^{2}x 8^{1.3 }= 8^{?}
This can be expressed as,

^{}
a

^{m }x a^{n}= a^{m + n}
8

^{0.2 + 2 + 1.3}
8

^{3.5}
Therefore, 8

^{?}= 8^{3.5}**Practice Problems for Exponents**

**Question:**25

^{7.5 }x 5

^{2.5}= ?

1) 8.5 2) 13 3)16 4)17.5 5) None of these

**Question:**0.004

^{-15 }= ?

1) 25 2) 125 3)250 4)625 5) None of these

Do write your answers in the comment section!

Download more practice questions and save time in IBPS PO Exam.

Download more practice questions and save time in IBPS PO Exam.

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