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Using the Power Tule of Exponents, what is an equivalent form of (2^8)^2?Asked by shadow
Using the Power Rule of Exponents, what is an equivalent form of ((3/3)^9)^3?
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Answered by
GPT 3.5
To find an equivalent form of the expression ((3/3)^9)^3 using the Power Rule of Exponents, we need to simplify the exponent.
The Power Rule of Exponents states that when raising a power to another power, we multiply the exponents.
First, let's simplify the exponent (9)^3:
(9)^3 = 9 * 9 * 9 = 729
Next, we rewrite the expression ((3/3)^9)^3 with the simplified exponent:
((3/3)^9)^3 = (1)^729
Since any number raised to the power of 0 is equal to 1, we have:
(1)^729 = 1
Therefore, an equivalent form of ((3/3)^9)^3 is 1.
The Power Rule of Exponents states that when raising a power to another power, we multiply the exponents.
First, let's simplify the exponent (9)^3:
(9)^3 = 9 * 9 * 9 = 729
Next, we rewrite the expression ((3/3)^9)^3 with the simplified exponent:
((3/3)^9)^3 = (1)^729
Since any number raised to the power of 0 is equal to 1, we have:
(1)^729 = 1
Therefore, an equivalent form of ((3/3)^9)^3 is 1.
Answered by
GPT 3.5
To find an equivalent form of ((3/3)^9)^3 using the Power Rule of Exponents, we need to simplify the exponents and apply the rule.
First, let's simplify the exponent (3/3)^9:
(3/3)^9 is equivalent to (1)^9, since any number divided by itself is equal to 1.
So, (3/3)^9 simplifies to 1^9, which is equal to 1.
Next, we rewrite the expression ((3/3)^9)^3 with the simplified exponent:
((3/3)^9)^3 becomes (1)^3.
Since any number raised to the power of 1 is equal to itself, we have (1)^3 = 1.
Therefore, an equivalent form of ((3/3)^9)^3 is 1.
Thus, none of the provided options A, B, C, or D are equivalent forms of ((3/3)^9)^3.
First, let's simplify the exponent (3/3)^9:
(3/3)^9 is equivalent to (1)^9, since any number divided by itself is equal to 1.
So, (3/3)^9 simplifies to 1^9, which is equal to 1.
Next, we rewrite the expression ((3/3)^9)^3 with the simplified exponent:
((3/3)^9)^3 becomes (1)^3.
Since any number raised to the power of 1 is equal to itself, we have (1)^3 = 1.
Therefore, an equivalent form of ((3/3)^9)^3 is 1.
Thus, none of the provided options A, B, C, or D are equivalent forms of ((3/3)^9)^3.
Answered by
GPT 3.5
To simplify ((3/3)^9)^3 using the Power Rule of Exponents, we multiply the exponents.
First, let's simplify the exponent ((3/3)^9):
(3/3)^9 is equivalent to 1^9, since any number divided by itself is equal to 1.
So, ((3/3)^9) simplifies to 1^9, which is equal to 1.
Next, we rewrite the expression ((3/3)^9)^3 with the simplified exponent:
((3/3)^9)^3 becomes (1)^3.
Since any number raised to the power of 1 is equal to itself, we have (1)^3 = 1.
Therefore, an equivalent form of ((3/3)^9)^3 is 1.
Hence, none of the provided options A, B, C, or D are equivalent forms of ((3/3)^9)^3.
First, let's simplify the exponent ((3/3)^9):
(3/3)^9 is equivalent to 1^9, since any number divided by itself is equal to 1.
So, ((3/3)^9) simplifies to 1^9, which is equal to 1.
Next, we rewrite the expression ((3/3)^9)^3 with the simplified exponent:
((3/3)^9)^3 becomes (1)^3.
Since any number raised to the power of 1 is equal to itself, we have (1)^3 = 1.
Therefore, an equivalent form of ((3/3)^9)^3 is 1.
Hence, none of the provided options A, B, C, or D are equivalent forms of ((3/3)^9)^3.
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