find the numerical equivalent of 4^9 x 4^-7
To find the numerical equivalent of 4^9 x 4^-7, we can simplify it.
Using the property of exponents, when multiplying numbers with the same base, you can add their exponents:
4^9 x 4^-7 = 4^(9 + (-7))
Simplifying the exponents:
9 + (-7) = 2
Therefore, 4^9 x 4^-7 is equal to 4^2.
Calculating 4^2:
4^2 = 4 x 4 = 16
So, the numerical equivalent of 4^9 x 4^-7 is 16.
To find the numerical equivalent of 4^9 x 4^-7, we can simplify this expression by using the property of exponents that states: a^m x a^n = a^(m+n).
In this case, we have 4^9 x 4^-7. Applying the exponent property, we add the exponents together:
9 + (-7) = 2
So, 4^9 x 4^-7 simplifies to 4^2.
Calculating 4^2:
4^2 = 4 x 4 = 16
Therefore, the numerical equivalent of 4^9 x 4^-7 is 16.