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Let’s check out your problem:
(
4
0
+
4
−
1
)
×
2
2
(4^{0} + 4^{-1}) \times 2^{2}
(
4
0
+
4
−
1
)
×
2
2
View step-by-step help
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Math Problems
Grade 7
Powers with negative bases
Full solution
Q.
(
4
0
+
4
−
1
)
×
2
2
(4^{0} + 4^{-1}) \times 2^{2}
(
4
0
+
4
−
1
)
×
2
2
Calculate
4
0
4^0
4
0
:
Calculate
4
4
4
to the power
0
0
0
.
\newline
4
0
=
1
4^0 = 1
4
0
=
1
Calculate
4
−
1
4^{-1}
4
−
1
:
Calculate
4
4
4
to the power
−
1
-1
−
1
.
\newline
4
−
1
=
1
4
4^{-1} = \frac{1}{4}
4
−
1
=
4
1
Add results:
Add the results from step
1
1
1
and step
2
2
2
.
\newline
1
+
1
4
=
1.25
1 + \frac{1}{4} = 1.25
1
+
4
1
=
1.25
Calculate
2
2
2^2
2
2
:
Calculate
2
2
2
to the power
2
2
2
.
\newline
2
2
=
4
2^2 = 4
2
2
=
4
Multiply results:
Multiply the result from step
3
3
3
by the result from step
4
4
4
.
\newline
1.25
×
4
=
5
1.25 \times 4 = 5
1.25
×
4
=
5
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Factor completely.
\newline
2
x
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x
3
−
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x
2
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\newline
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\newline
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\newline
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\newline
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Question
Evaluate the following expression.
\newline
40
⋅
8
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=
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Evaluate the following expression.
\newline
9
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−
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⋅
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2
−
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Question
Evaluate the expression. Do not round your answer.
\newline
(
3
+
2
)
2
−
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=
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(
3
+
2
)
2
−
7
=
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Question
Evaluate the expression.
\newline
Do not round your answer.
\newline
(
4
+
3
)
2
+
5
=
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(
4
+
3
)
2
+
5
=
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Question
Evaluate the following expression.
\newline
3
3
−
10
+
7
=
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3
−
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+
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=
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