
What is \[1.3 \times 10\] to the \[0\] power?
Answer
514.5k+ views
Hint: Here in this question, we have to simplify the given question. The given question involves the power term and here first we simplify the power term and then we have a multiplication symbol so we multiply the given term. Hence, we obtain the solution for the given question.
Complete step-by-step solutions:
In mathematics we have different four arithmetic operations namely, addition, subtraction, multiplication and division. The addition will add the numbers. The subtraction will subtract the numbers. The multiplication will multiply the numbers and the division will divide the number.
The power can be called an exponent. When the number has power then that many times the base will be multiplied.
The power (or exponent) of a number says how many times to use the number in a multiplication.
The power form is defined as \[{a^b}\], where a is the base and the b is the exponent.
Now consider the given question
\[1.3 \times 10\] to the \[0\] power
This can be written in the numerical form as
\[ \Rightarrow 1.3 \times {10^0}\]
By the law of exponents, we have \[{a^0} = 1\],
Any number which has power zero then it can be written as 1. Therefore, on simplifying the above number it can be written as
\[ \Rightarrow 1.3 \times 1\]
On multiplying the above numbers, we get
\[ \Rightarrow 1.3\]
Thus the correct answer is 1.3.
Note: Here we must know the concept of the power. If we have power term, we are going to multiply the base term that many times. The arithmetic operations are used whenever it is necessary. If the base has the power zero then it is written as 1.
Complete step-by-step solutions:
In mathematics we have different four arithmetic operations namely, addition, subtraction, multiplication and division. The addition will add the numbers. The subtraction will subtract the numbers. The multiplication will multiply the numbers and the division will divide the number.
The power can be called an exponent. When the number has power then that many times the base will be multiplied.
The power (or exponent) of a number says how many times to use the number in a multiplication.
The power form is defined as \[{a^b}\], where a is the base and the b is the exponent.
Now consider the given question
\[1.3 \times 10\] to the \[0\] power
This can be written in the numerical form as
\[ \Rightarrow 1.3 \times {10^0}\]
By the law of exponents, we have \[{a^0} = 1\],
Any number which has power zero then it can be written as 1. Therefore, on simplifying the above number it can be written as
\[ \Rightarrow 1.3 \times 1\]
On multiplying the above numbers, we get
\[ \Rightarrow 1.3\]
Thus the correct answer is 1.3.
Note: Here we must know the concept of the power. If we have power term, we are going to multiply the base term that many times. The arithmetic operations are used whenever it is necessary. If the base has the power zero then it is written as 1.
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