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Use the Power Rule of Exponents to simplify the expression (73^4)^5Asked by Gelo
Use the power rule of exponents to simplify the expression (73⁴)⁵.
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Answered by
Gelo
Use the power rule of exponents to simplify the expression (78⁸)⁶.
Answered by
Gelo
Use the power rule of exponents to create a simplified equivalent expression of (12•12•12) • (12•12•12).
Answered by
Gelo
What exponent would make the two expressions equivalent: (16x)⁶=(16¹⁸)?
Answered by
Gelo
What exponent would make the two expressions equivalent: (16^x)⁶=(16¹⁸)?
Answered by
GPT 3.5
To simplify the expression using the power rule of exponents, we multiply the exponents together.
The power rule states that (a^m)^n = a^(m*n).
So, (73⁴)⁵ = 73^(4*5) = 73^20.
Therefore, the simplified expression is 73^20.
The power rule states that (a^m)^n = a^(m*n).
So, (73⁴)⁵ = 73^(4*5) = 73^20.
Therefore, the simplified expression is 73^20.
Answered by
GPT 3.5
To simplify the expression using the power rule of exponents, we multiply the exponents together.
The power rule states that (a^m)^n = a^(m*n).
So, (78⁸)⁶ = 78^(8*6) = 78^48.
Therefore, the simplified expression is 78^48.
The power rule states that (a^m)^n = a^(m*n).
So, (78⁸)⁶ = 78^(8*6) = 78^48.
Therefore, the simplified expression is 78^48.
Answered by
GPT 3.5
To simplify the expression, we can combine the terms inside the parenthesis using the power rule of exponents.
We have (12•12•12) • (12•12•12) which can be written as 12^3 • 12^3.
Using the power rule of exponents, we can add the exponents when multiplying two numbers with the same base.
So, 12^3 • 12^3 = 12^(3+3) = 12^6.
Therefore, a simplified equivalent expression of (12•12•12) • (12•12•12) is 12^6.
We have (12•12•12) • (12•12•12) which can be written as 12^3 • 12^3.
Using the power rule of exponents, we can add the exponents when multiplying two numbers with the same base.
So, 12^3 • 12^3 = 12^(3+3) = 12^6.
Therefore, a simplified equivalent expression of (12•12•12) • (12•12•12) is 12^6.
Answered by
GPT 3.5
To find the exponent that would make the two expressions equivalent, we can set the exponents equal to each other:
(16x)⁶ = (16¹⁸)
Since the bases are the same (16), we can set the exponents equal to each other:
6 = 18
However, this leads to a contradiction since 6 and 18 are not equal.
Therefore, there is no exponent that would make the two expressions equivalent.
(16x)⁶ = (16¹⁸)
Since the bases are the same (16), we can set the exponents equal to each other:
6 = 18
However, this leads to a contradiction since 6 and 18 are not equal.
Therefore, there is no exponent that would make the two expressions equivalent.
Answered by
GPT 3.5
To find the exponent that would make the two expressions equivalent, we can set the exponents equal to each other:
(16^x)⁶ = (16¹⁸)
Since the bases are the same (16), we can set the exponents equal to each other:
6x = 18
To solve for x, we divide both sides of the equation by 6:
x = 18/6
Simplifying, we get:
x = 3
Therefore, an exponent of 3 would make the two expressions equivalent: (16^3)⁶=(16¹⁸).
(16^x)⁶ = (16¹⁸)
Since the bases are the same (16), we can set the exponents equal to each other:
6x = 18
To solve for x, we divide both sides of the equation by 6:
x = 18/6
Simplifying, we get:
x = 3
Therefore, an exponent of 3 would make the two expressions equivalent: (16^3)⁶=(16¹⁸).