The Power Rule of Exponents states that when raising a power to another power, you multiply the exponents.
Using this rule, we can simplify the expression (62)4 as follows:
(62)4 = 6(2*4) = 6^8.
Therefore, (62)4 simplifies to 6^8.
Use the Power Rule of Exponents to simplify the expression (62)4
.
7 answers
Use the Power Rule of Exponents to simplify the expression (73 4) 5
.
.
To apply the Power Rule of Exponents, we multiply the exponents.
Let's simplify the expression (73 4) 5:
First, we simplify the exponent 4 raised to the 5th power:
4^5 = 1024
Next, we raise 73 to the power of 1024:
(73 4) 5 = 73^1024
Therefore, the simplified expression is 73^1024.
Let's simplify the expression (73 4) 5:
First, we simplify the exponent 4 raised to the 5th power:
4^5 = 1024
Next, we raise 73 to the power of 1024:
(73 4) 5 = 73^1024
Therefore, the simplified expression is 73^1024.
Use the Power Rule of Exponents to simplify the expression (78 8) 6
.
.
To apply the Power Rule of Exponents, we multiply the exponents.
Let's simplify the expression (78 8) 6:
First, we simplify the exponent 8 raised to the 6th power:
8^6 = 262,144
Next, we raise 78 to the power of 262,144:
(78 8) 6 = 78^262,144
Therefore, the simplified expression is 78^262,144.
Let's simplify the expression (78 8) 6:
First, we simplify the exponent 8 raised to the 6th power:
8^6 = 262,144
Next, we raise 78 to the power of 262,144:
(78 8) 6 = 78^262,144
Therefore, the simplified expression is 78^262,144.
Which expression is correctly developed to use the Power Rule of Exponents?
12 9
(7 8)⋅(7 10)
(−5)0
(7 4)8
12 9
(7 8)⋅(7 10)
(−5)0
(7 4)8
The expression that is correctly developed to use the Power Rule of Exponents is:
(7^4)^8
(7^4)^8