
What is \[8\] to the third power times \[8\] to the negative \[10\] power?
Answer
432.6k+ views
Hint:Powers and Indices are other names for exponents. Exponential notation is a form of mathematical shorthand that helps us to express complex expressions in a more concise manner.
Complete step by step answer:
An exponent is a number or letter that is written above and to the right of the base in a mathematical expression. It denotes that the base will be lifted to a certain level of strength.The base is $x$, and the exponent or power is $n$.
Firstly we should multiply exponents with the same base,and then the exponents are added.
So we can take a look at the below answers obtained.
\[{8^3}\,.\,{8^{ - 10}}\, \to \,3 + \,( - 10)\, = \, - 7\, \to \,{8^{ - 7}}\]
\[ = > \,{8^{ - 7}}\]
And hence we successfully found the answer.
A positive exponent indicates how many times a base number should be multiplied, while a negative exponent indicates how many times a base number should be divided. A negative exponent indicates how many times the number should be divided by. We can use the Reciprocal (i.e.\[{\text{1/}}{{\text{a}}^{\text{n}}}\]) to alter the sign of the exponent (plus to minus, or minus to plus). A negative exponent indicates that a basis is on the fraction line's denominator side.
Hence, we found that \[8\] to the third power times \[8\] to the negative \[10\] power is \[{8^{ - 7}}\].
Note: The negative exponent rule states that a negative exponent number should be placed in the denominator and vice versa. Another way to find the exponential is to start with "1" and multiply or divide by the exponent as many times as it says, and you will get the correct answer. For example:
\[{5^2} = \,1\,\, \times \,\,5\, \times \,5\, = \,25\]
\[{5^{ - 1}}\, = \,1\, \div \,5\]
Complete step by step answer:
An exponent is a number or letter that is written above and to the right of the base in a mathematical expression. It denotes that the base will be lifted to a certain level of strength.The base is $x$, and the exponent or power is $n$.
Firstly we should multiply exponents with the same base,and then the exponents are added.
So we can take a look at the below answers obtained.
\[{8^3}\,.\,{8^{ - 10}}\, \to \,3 + \,( - 10)\, = \, - 7\, \to \,{8^{ - 7}}\]
\[ = > \,{8^{ - 7}}\]
And hence we successfully found the answer.
A positive exponent indicates how many times a base number should be multiplied, while a negative exponent indicates how many times a base number should be divided. A negative exponent indicates how many times the number should be divided by. We can use the Reciprocal (i.e.\[{\text{1/}}{{\text{a}}^{\text{n}}}\]) to alter the sign of the exponent (plus to minus, or minus to plus). A negative exponent indicates that a basis is on the fraction line's denominator side.
Hence, we found that \[8\] to the third power times \[8\] to the negative \[10\] power is \[{8^{ - 7}}\].
Note: The negative exponent rule states that a negative exponent number should be placed in the denominator and vice versa. Another way to find the exponential is to start with "1" and multiply or divide by the exponent as many times as it says, and you will get the correct answer. For example:
\[{5^2} = \,1\,\, \times \,\,5\, \times \,5\, = \,25\]
\[{5^{ - 1}}\, = \,1\, \div \,5\]
Recently Updated Pages
Master Class 9 General Knowledge: Engaging Questions & Answers for Success

Earth rotates from West to east ATrue BFalse class 6 social science CBSE

The easternmost longitude of India is A 97circ 25E class 6 social science CBSE

Write the given sentence in the passive voice Ann cant class 6 CBSE

Convert 1 foot into meters A030 meter B03048 meter-class-6-maths-CBSE

What is the LCM of 30 and 40 class 6 maths CBSE

Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Given that HCF 306 657 9 find the LCM 306 657 class 9 maths CBSE

The highest mountain peak in India is A Kanchenjunga class 9 social science CBSE

What is pollution? How many types of pollution? Define it

The largest brackish water lake in India is A Wular class 9 biology CBSE
