Simplify 2^(3)+2^(-3)

Calculate Exponents: Simplify 2^(3) + 2^(-3). We know that 2^(3) means 2 multiplied by itself 3 times, which is 2 * 2 * 2 = 8. For 2^(-3), the negative exponent means we take the reciprocal of 2^(3), which is 1/(2^(3)) = 1/8. Now, we add the two results together: 8 + 1/8.Add Exponents: Calculate the sum 8 + 1/8. To add these two numbers, we need a common denominator. The common denominator is 8. So, we convert 8 to 8/1 and then multiply by 8/8 to get 64/8. Now we can add: 64/8 + 1/8 = 65/8.Simplify Negative Exponent: Simplify 2^(-1). The negative exponent means we take the reciprocal of 2^(1), which is 1/2. So, 2^(-1) = 1/2.

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Simplify $\newline$ $2^{3}+2^{-3}$

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Algebra 2

Simplify rational expressions

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Q. Simplify

\newline

2^{3}+2^{-3}

Calculate Exponents: Simplify $2^{3} + 2^{-3}$ . We know that $2^{3}$ means $2$ multiplied by itself $3$ times, which is $2 \times 2 \times 2 = 8$ . For $2^{-3}$ , the negative exponent means we take the reciprocal of $2^{3}$ , which is $1/(2^{3}) = 1/8$ . Now, we add the two results together: $8 + 1/8$ .
Add Exponents: Calculate the sum $8 + \frac{1}{8}$ . $\newline$ To add these two numbers, we need a common denominator. The common denominator is $8$ . $\newline$ So, we convert $8$ to $\frac{8}{1}$ and then multiply by $\frac{8}{8}$ to get $\frac{64}{8}$ . $\newline$ Now we can add: $\frac{64}{8} + \frac{1}{8} = \frac{65}{8}$ .
Simplify Negative Exponent: Simplify $2^{-1}$ . The negative exponent means we take the reciprocal of $2^{1}$ , which is $\frac{1}{2}$ . So, $2^{-1} = \frac{1}{2}$ .