Find the Value of 16^3/4

By BYJU'S Exam Prep

Updated on: September 25th, 2023

The value of (16)^3/4 is 8

Now we have to solve for the required value

Consider 16^3/4

We know that, 16=2⁴

The above equation can be written as

∴16^3/4=(2⁴)^3/4

=2⁴×3⁴[∵(a^m)ⁿ=a^mn]

=2³

⇒16^3/4=8

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

Table of content

1. Find the Value of 163/4

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/a^k

Summary:-