Using the power rule of exponents, what is an equivalent form of six with a small six on top and another small three
An equivalent form of 6 with a small 6 on top and another small 3 can be written as 623.
To rewrite six with a small six on top and another small three using the power rule of exponents, we can break down the expression as follows:
= 6^(6/3)
= 6^2
So, an equivalent form of six with a small six on top and another small three is 6 squared, or 6^2.
To rewrite the expression six with a small six on top and another small three using the power rule of exponents, we can simplify it step by step.
The power rule of exponents states that for any real number a and positive integers m and n, a^(m × n) is equivalent to (a^m)^n.
Let's break down the given expression:
Six with a small six on top means 6^6.
And another small three means to take the cube of the expression above, so we have (6^6)^3.
To apply the power rule of exponents, we multiply the exponents:
6^6 × 3
Multiplying 6^6 is a large number, so let's use a calculator or a computer to evaluate it:
6^6 = 46656
Now we can substitute this value back into our expression:
46656^3
Applying the power rule again, we multiply the exponents:
46656^(3 × 1)
Finally, simplifying the exponent, we have:
46656^3
So, an equivalent form of six with a small six on top and another small three is 46656^3.