
What is 4 to the 5th power?
Answer
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Hint: To find the value of 4 to the 5th power, we have to represent it as . We know that when a number, say x, is raised to value, say a, we have to multiply the number, x the number as many times has the power, that is a times. So, we have to multiply 4 five times.
Complete step by step solution:
We have to find the value of 4 to the 5th power. We can represent 4 to the 5th power as . We know that when a number, say x, is raised to value, say a, we have to multiply the number, x the number as many times as the power, that is a times.
Hence, we can write as
Let us simplify this. We will first multiply the pairs of 4.
Now, let us multiply the pair of 16.
Now, we have to multiply 256 with 4.
Hence, the value of 4 to the 5th power is 1024.
Note: Students must know the meaning of ‘raised to’ and ‘to the power of’ to solve these problems. These terms are used to represent the exponents. Let us consider . Here, x is the base and a is the exponent. An exponent refers to the number of times a number, that is, base is multiplied by itself. These are many rules related to exponents.
Complete step by step solution:
We have to find the value of 4 to the 5th power. We can represent 4 to the 5th power as
Hence, we can write
Let us simplify this. We will first multiply the pairs of 4.
Now, let us multiply the pair of 16.
Now, we have to multiply 256 with 4.
Hence, the value of 4 to the 5th power is 1024.
Note: Students must know the meaning of ‘raised to’ and ‘to the power of’ to solve these problems. These terms are used to represent the exponents. Let us consider
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