QUESTION in pic below

Question

asked Jul 14, 2024 163k views

2 Answers

Shanky · Answer 1 · 2024-07-19T10:31:39+0000

Answer:

$\sf 27^(3)/(4)$

Explanation:

To rewrite the expression
$27^(1)/(2)\cdot 27^(1)/(4)$ in terms of 27, we can use the following property of exponents:

$\boxed{\boxed{\sf a^m \cdot a^n = a^(m+n) }}$

This property states that when multiplying two powers with the same base, we can add the exponents together.

Therefore, we can rewrite the expression as follows:

$\sf 27^(1)/(2)\cdot 27^(1)/(4)= 27^{(1)/(2)+(1)/(4)}$

Adding the exponents, we get:

$\sf 27^{(1)/(2)+(1)/(4)} = 27^{ (2+1)/(4)} = 27^(3)/(4)$

Therefore, the expression is:

$\sf 27^(3)/(4)$