Question

Show how the expression {2¹³}/{8} can be written in simpler form. Explain your process.

a. 2⁵
b. 2⁶
c. 2⁷
d. 2⁸

Answer 1

To simplify the expression {2¹³}/{8}, rewrite 2¹³ as 2⁵ × 2⁸ and simplify the expression using the property of exponents.

Step-by-step explanation:

To simplify the expression {2¹³}/{8}, we can rewrite 2¹³ as 2⁵ × 2⁸. Since 8 = 2³, we can rewrite {2¹³}/{8} as (2⁵ × 2⁸) / (2³). Using the property of exponents, we subtract the exponents and get 2².

To simplify the expression {2¹³}/{8},

Recognize that 8 can be written as 2³.

Apply the rule of division of exponents by subtracting the exponent of the denominator from the exponent of the numerator. In this case, it is 13 - 3 = 10.

Write the simplified form as 2¹⁰.

So, the simpler form of the expression is 2¹⁰.