Use the Power Rule of Exponents to simplify the expression (62)4.(
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To simplify the expression (62)4 using the power rule of exponents, we multiply the exponents. In this case, we have the base 6 raised to the exponent 2, and then that whole expression raised to the exponent 4.
Using the power rule, we multiply the exponents:
(62)4 = 6(2*4) = 6^8
Therefore, the expression (62)4 simplifies to 6^8.
To create a simplified equivalent expression of (12⋅12⋅12)⋅(12⋅12⋅12) using the Power Rule of Exponents, we can simplify each factor individually, and then multiply them together.
First, we can simplify (12⋅12⋅12) to 12^3, using the rule that states when a number is raised to an exponent, it can be simplified by multiplying the number by itself the number of times indicated by the exponent:
(12⋅12⋅12) = 12^3
Next, we can apply the Power Rule of Exponents to simplify (12^3)⋅(12^3):
(12^3)⋅(12^3) = 12^(3+3) = 12^6
Therefore, the simplified equivalent expression of (12⋅12⋅12)⋅(12⋅12⋅12) using the Power Rule of Exponents is 12^6.
We can use the power rule of exponents to simplify the expression (62)4.
The power rule of exponents states that when we have a base raised to an exponent, and then that whole expression is raised to another exponent, we can multiply the exponents.
In this case, we have (62)4. Since the base is a number, 6, we can rewrite this expression as (62)4 = 64.
Therefore, the expression (62)4 simplifies to 64.
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Use the Power Rule of Exponents to simplify the expression (734)5
To simplify the expression (734)5 using the Power Rule of Exponents, we can apply the rule which states that when a base is raised to an exponent, and then that expression is raised to another exponent, we multiply the exponents.
In this case, we have the base 734 raised to the exponent 5. Using the power rule, we can multiply the exponents:
(734)5 = 73(4*5) = 73^20
Therefore, the expression (734)5 simplifies to 73^20.
Use the Power Rule of Exponents to simplify the expression (788)6
To simplify the expression (788)6 using the Power Rule of Exponents, we can apply the rule which states that when a base is raised to an exponent, and then that expression is raised to another exponent, we multiply the exponents.
In this case, we have the base 788 raised to the exponent 6. Using the power rule, we can multiply the exponents:
(788)6 = 78(8*6) = 78^48
Therefore, the expression (788)6 simplifies to 78^48.