Question

Simplify.

26⋅268÷(26⋅8)26⋅268÷(26⋅8)

a) 263⋅2263⋅2

b) 262⋅2262⋅2

c) 26⋅226⋅2

d) 22

Answer 1

Simplify the expression by dividing out the common factors and applying exponent rules, leaving us with 26^5 as the simplified result.

Step-by-step explanation:

The question asks to simplify the expression 26⋅268÷(26⋅8). To solve this, we can use the properties of exponents and the order of operations (PEMDAS/BODMAS). The expression can be rewritten more simply by canceling out common factors and using exponent rules.

First, recognizing that 26 can be divided out from both the numerator and the denominator. We're left with:

⋅268÷⋅8

Using exponent rules, we subtract the exponents when dividing like bases, leading to:

268-3 = 265

Thus, the simplified expression is 265. This corresponds to choice (b) in the list of options provided.