Question

Simplify and find the value of (21)^3/2 into (21)^5/2

Answer 1

Answer:

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Answer 2

Answer:

The simplified value of the given expression is 194481

Step-by-step explanation:

The given exponential relation of two numbers is

$21 {}^{ \frac{3}{2} } \times 21 {}^{ \frac{5}{2} }$

For solving this problem we shall use the identity of multiplication of expnonential numbers.While multiplying two numbers which have same bases and different exponents we shall keep the base same and add the exponents and thus resulting number is obtained.This is done as shown below

$21 {}^{ \frac{3}{2} } \times 21 {}^{ \frac{5}{2} } = 21 {}^{ \frac{3 + 5}{2} } = 21 {}^{4} \\ = 194481$

Therefore,the simplified value of given exponential relation is found to be 194481

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