Answer :
The expressions that have the same value are 2⁶, 4³ and 8² that is equal to 64.
In this question, we are asked to select all the expressions that have the same value.
To determine whether the expressions are equal, we need to simplify them and compare the results.
- Starting with a, we have 2⁴, which equals 2 × 2 × 2 × 2 = 16.
- Moving on to b, we have 2⁶, which equals 2 × 2 × 2 × 2 × 2 × 2 = 64.
- Next, we have c, 2⁸, which equals 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256.
- d is 4³, which equals 4 × 4 × 4 = 64.
- e is 8², which equals 8 × 8 = 64.
- Finally, f is 8⁸, which equals 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 = 16,777,216.
So, the expressions that have the same value are b. 2⁶, d. 4³ and e. 8² that is equal to 64.
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Complete Question
Select all the expressions that have the same value. a. 2⁴ b. 2⁶ c. 2⁸ d. 4³ e. 8² f. 8⁸
