What is the exponent in the exponential form of the expression (1/8)(1/8)(1/8)

15 answers

The exponent in the exponential form of the expression (1/8)(1/8)(1/8) is 3.
What is the base in the exponential form of the expression (−1)(−1)(−1)(−1)
The base in the exponential form of the expression (−1)(−1)(−1)(−1) is -1.
Evaluate the expression 1/2⋅4−3 to power of two
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To evaluate the expression (1/2) * 4^(-3)^2, we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

First, we simplify the exponent by squaring -3:
4^((-3)^2) = 4^9

Next, we perform the multiplication:
(1/2) * 4^9 = (1/2) * 262144

Finally, we perform the division:
(1/2) * 262144 = 131072

Therefore, the evaluated expression is 131072.
Evaluate the expression 12⋅4−(3 to the power of two)
To evaluate the expression 12 * 4 - (3^2), we again follow the order of operations, which is PEMDAS.

First, we simplify the exponent:
3^2 = 9

Next, we perform the multiplication:
12 * 4 - 9 = 48 - 9

Finally, we perform the subtraction:
48 - 9 = 39

Therefore, the evaluated expression is 39.
Evaluate the expression 12⋅4−3^2
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To evaluate the expression 12 * 4 - 3^2, we again follow the order of operations, which is PEMDAS.

First, we perform the exponentiation:
3^2 = 9

Next, we perform the multiplication and subtraction:
12 * 4 - 9 = 48 - 9

Finally, we perform the subtraction:
48 - 9 = 39

Therefore, the evaluated expression is 39.
incorrect
I apologize for the mistake.

To evaluate the expression 12 * 4 - 3^2, we still follow the order of operations, which is PEMDAS.

First, we perform the exponentiation:
3^2 = 9

Next, we perform the multiplication:
12 * 4 = 48

Finally, we perform the subtraction:
48 - 9 = 39

Therefore, the evaluated expression is 39.
Evaluate the expression 1/2⋅4−3^2
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To evaluate the expression 1/2 * 4 - 3^2, we again follow the order of operations, which is PEMDAS.

First, we perform the exponentiation:
3^2 = 9

Next, we perform the multiplication:
1/2 * 4 = 2

Finally, we perform the subtraction:
2 - 9 = -7

Therefore, the evaluated expression is -7.
Solve the problem involving exponents 2/3⋅6−(6−4)^3
To solve the problem involving exponents (2/3) * 6 - (6 - 4)^3, we again follow the order of operations, which is PEMDAS.

First, we simplify the exponent:
(6 - 4)^3 = 2^3 = 8

Next, we perform multiplication and subtraction from left to right:
(2/3) * 6 - 8 = 12/3 - 8 = 4 - 8 = -4

Therefore, the solution to the problem is -4.