If the expression 4*10
was simplified using the Power Rule of Exponents, what is an equivalent expanded expression?
The Power Rule of Exponents states that a^m * a^n = a^(m+n).
In this case, we have 4*10, which can be rewritten as 4^1 * 10^1.
Using the Power Rule of Exponents, we can combine the exponents to get 4^(1+1) * 10^(1+1).
Simplifying further, we have 4^2 * 10^2.
Therefore, the equivalent expanded expression is 16 * 100.
Which of the following is equivalent to 6^−2
?
To simplify 6^-2, we use the rule that says a^(-n) is equal to 1 / a^n.
Therefore, we have 6^(-2) = 1 / 6^2.
Simplifying further, we have 1 / (6 * 6).
Which is equivalent to 1 / 36.
Therefore, 6^(-2) is equivalent to 1 / 36.
To simplify the expression 4*10 using the Power Rule of Exponents, we can rewrite 4 as 2^2 and 10 as 2*5.
Therefore, the equivalent expanded expression is:
2^2 * 2 * 5