Question

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

Answer 1

Answer:

2^9 2^-2x 11 (2x2x2x2x2)x(2x2x2x2)

A E F

Step-by-step explanation:

Answer 2

Option A: $2^9$

Option E: $2^{-2}.2^{11}$

Option F: $(2.2.2.2.2)(2.2.2.2)$

Solution:

Given expression is $2^5.2^4$.

To find which expression is equivalent to the given expression.

Option A: $2^9$

Using exponent rule: $a^b.a^c=a^{(b+c)}$

$2^5.2^4=2^{(5+4)}=2^9$

Therefore $2^9$ is equivalent to the given expression.

Option B: $2^{20}$

It is not equivalent to the given expression.

Option C: $2.2^9$

$2.2^9=2^{(1+9)}=2^{10}$

Therefore, It is not equivalent to the given expression.

Option D: $2^{10}.2^2$

$2^{10}.2^2=2^{(10+2)}=2^{12}$

Therefore, It is not equivalent to the given expression.

Option E: $2^{-2}.2^{11}$

$2^{-2}.2^{11}=2^{(2-11)}=2^9$

Therefore, It is equivalent to the given expression.

Option F: $(2.2.2.2.2)(2.2.2.2)$

$(2.2.2.2.2)(2.2.2.2)=2^5.2^4$

Therefore, It is equivalent to the given expression.

Hence option A, Option E and Option E are equivalent to the given expression.