Question

Which expressions are equivalent to 2^5•2^4? Check all that apply.

Answer 1

[see below]

Explanation:

Recall the product rule:
`a^x+a^y=a^(x+y)`

`2^5 + 2^4 = 2^(5 + 4) = \boxed{2^9}`

Other expressions could be:

`2^(-2) *2^(11)=2^(-2+11) = \boxed{2^9}`

`(2*2*2*2*2)(2*2*2*2) = 2^5 + 2^4 = \boxed{2^9}`

Hope this helps.

Answer 2

2⁵×2⁴=2⁹

2⁵×2⁴=2×2×2×2×2×2×2×2×2

2⁵×2⁴=4⁵

2⁵×2⁴=8³×2