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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 45 . 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 45 . 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.
xa=x×x×x×...xa times
Hence, we can write 45 as
45=4×4×4×4×4
Let us simplify this. We will first multiply the pairs of 4.
45=(4×4)×(4×4)×445=16×16×4
Now, let us multiply the pair of 16.
45=(16×16)×445=256×4
Now, we have to multiply 256 with 4.
45=1024
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 xa . 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.

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