Which exponential expressions are true? Select two answers.
A.
4
⋅
4
=
2
4
B.
(
5
+
2
)
3
=
5
3
+
2
3
C.
8
⋅
8
⋅
8
⋅
8
=
8
4
D.
3
⋅
3
⋅
3
=
3
27
E.
(
6
−
1
)
2
=
5
2
Which exponential expressions are true? Select two answers.
A. 4*4=2 4
b(5+2) 3 =5 3 +2 3
C.8*8*8*8=8 4
D.3*3*3=3 27
E.(6-1) 2= 5 2
WHat do you think??
Note: E is correct : )
You figure out some more : )
To determine which exponential expressions are true, we need to simplify each expression and compare the results.
Let's go through each option:
A. 4⋅4 = 2^4
4⋅4 = 16
2^4 = 16
Since the two sides of the equation are equal, Option A is true.
B. (5+2)^3 = 5^3 + 2^3
(5+2)^3 = 7^3 = 343
5^3 + 2^3 = 125 + 8 = 133
The two sides of the equation are not equal, so Option B is false.
C. 8⋅8⋅8⋅8 = 8^4
8⋅8⋅8⋅8 = 4096
8^4 = 4096
Since the two sides of the equation are equal, Option C is true.
D. 3⋅3⋅3 = 3^27
3⋅3⋅3 = 27
3^27 is a massive number, much larger than 27.
The two sides of the equation are not equal, so Option D is false.
E. (6−1)^2 = 5^2
(6−1)^2 = 5^2 = 25
Since the two sides of the equation are equal, Option E is true.
In conclusion, the true exponential expressions are:
A. 4⋅4 = 2^4
C. 8⋅8⋅8⋅8 = 8^4