Value of the expression [tex]( 6 + \frac{1}{3}x)^{2}[/tex] at x=6 is equals to 64.
" Exponents can be defined as number of times expression or a number gets multiplied."
Formula used
(a + b)² = (a + b) (a + b)
According to the question,
Given expression with exponent 2,
[tex]( 6 + \frac{1}{3}x)^{2}[/tex]
Substitute the value in the expression x = 6 we get,
(6 + [tex]\frac{1}{3}[/tex]× 6)²
= ( 6 + 2)²
= (8)²
= 8 × 8
= 64
Hence, value of the expression [tex]( 6 + \frac{1}{3}x)^{2}[/tex] at x=6 is equals to 64.
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