simplify
(5x^7)^4
Power Theorem for Exponents
If m and n are real numbers and x does not equal 0, (x^m)^n = x^mn
I hope this helps. Thanks for asking.
5^4 * x^(4*7)
25^2 * x^28
625 x^28
thank you!
To simplify the expression (5x^7)^4, you need to apply the power rule for exponents, which states that when you raise a power to another power, you multiply the exponents together.
First, apply the power rule to the base 5:
(5x^7)^4 = 5^(4) * (x^7)^4
Next, simplify the exponent for x:
(x^7)^4 = x^(7*4) = x^28
Now, substitute the simplified exponent back into the expression:
5^(4) * x^28
Finally, calculate the simplified expression:
5^4 = 625
x^28 = x^28
So, the simplified expression is 625x^28