Find the Value of 16^3/4

By K Balaji|Updated : November 12th, 2022

The value of (16)3/4 is 8

Now we have to solve for the required value

Consider 163/4

We know that, 16=24

The above equation can be written as

∴163/4=(24)3/4

=24×34[∵(am)n=amn]

=23

⇒163/4=8

Hence, the value of (16)3/4 is 8

Exponents -

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Law of Exponents -

Adding exponents while maintaining the same base is the rule for multiplying like bases.

Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.

Division Law: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.

Rules of Exponents -

Exponents follow a set of rules that we use to address a variety of mathematical issues. The following list includes a few exponent rules.

Zero rule: Any number with a zero exponent is the same as one.

One Rule: Any number or variable with an exponent of 1 is the same as the original value.

Negative Exponent Rule: We can represent the number as follows if the exponent value is a negative integer:

a-k = 1/ak

Summary:-

Find the Value of 163/4

The value of (16)3/4 is 8. An exponent of a number, represents the number of times the number is multiplied to itself.

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