f^2 x f^3
This expression can be simplified using the Product of Powers Rule, which states that when you multiply two expressions with the same base, you add their exponents:
f^2 × f^3 = f^(2+3) = f^5
Therefore, f^2 × f^3 simplified is f^5.
144^14/144^2
When dividing exponential expressions with the same base, you can apply the Quotient of Powers Rule, which states that you subtract the exponents:
144^14/144^2 = 144^(14-2)
Simplifying the exponent, we get:
144^12
Therefore, 144^14/144^2 simplified is 144^12.
x^11/x^4
When dividing exponential expressions with the same base, you can apply the Quotient of Powers Rule, which states that you subtract the exponents:
x^11/x^4 = x^(11-4)
Simplifying the exponent, we get:
x^7
Therefore, x^11/x^4 simplified is x^7.
write the value of the expression 4^5/4^5
The expression 4^5/4^5 can be simplified as follows:
4^5/4^5 = 1
Therefore, the value of the expression 4^5/4^5 is 1.
how about 3^3/3^6
The expression 3^3/3^6 can be simplified as follows:
3^3/3^6 = 1/3^(6-3) = 1/3^3
Therefore, the value of the expression 3^3/3^6 is 1/27.
To simplify the expression f^2 x f^3, we need to understand exponent rules.
When multiplying terms with the same base, you add the exponents. So, to simplify f^2 x f^3, we add the exponents:
f^2 x f^3 = f^(2+3) = f^5
Therefore, f^2 x f^3 is equivalent to f^5.