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.
Use the power rule of exponents to simplify the expression (73⁴)⁵.
9 answers
Use the power rule of exponents to simplify the expression (78⁸)⁶.
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.
Use the power rule of exponents to create a simplified equivalent expression of (12•12•12) • (12•12•12).
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.
What exponent would make the two expressions equivalent: (16x)⁶=(16¹⁸)?
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.
What exponent would make the two expressions equivalent: (16^x)⁶=(16¹⁸)?
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).