Question

Write an equivalent expression for 18^9 divided by 18^4.

a. 18^13
b. 18^5
c. 18^36
d. 18^0

Answer 1

The equivalent expression for 18^9 divided by 18^4 is found by subtracting the exponents, which gives 18^5. This is due to the exponent rules that apply when dividing expressions with the same base.

Step-by-step explanation:

The question involves division of two expressions with the same base raised to different exponents, which is a concept covered in exponent rules within mathematics. According to the rules of exponents, when you divide two expressions with the same base, you subtract the exponents.

Here, we have 189 ÷ 184. Applying the rule, we subtract the exponents:

189-4 = 185

Therefore, the equivalent expression is 185, which corresponds to option b.