simplify 4^-4 * 4^8
To simplify 4^-4 * 4^8, we can combine the like bases and add the exponents.
4^-4 * 4^8 = 4^(8-4) = 4^4 = 256
So, 4^-4 * 4^8 simplifies to 256.
simplify 4^-4 * 4^8 in exponential form
To simplify 4^-4 * 4^8 in exponential form, we can rewrite 4^-4 and 4^8 using positive exponents:
4^-4 * 4^8 = (1/4^4) * 4^8
To multiply with the same base, we add the exponents:
(1/4^4) * 4^8 = 4^(8-4) = 4^4
So, 4^-4 * 4^8 in exponential form is 4^4.
simplify 3^18 *3^-9 in exponential form
To simplify 3^18 * 3^-9 in exponential form, we can combine the like bases and add the exponents:
3^18 * 3^-9 = 3^(18 + (-9))
Simplifying the exponent, we have:
3^(18 + (-9)) = 3^9
So, 3^18 * 3^-9 in exponential form is 3^9.
simplify 4^11/4^-9 in exponential form
To simplify 4^11/4^-9 in exponential form, we can convert the division to multiplication and combine the like bases:
4^11/4^-9 = 4^(11 - (-9))
Simplifying the exponent, we have:
4^(11 - (-9)) = 4^(11 + 9)
So, 4^11/4^-9 in exponential form is 4^(11 + 9).
r u sure?
Apologies for the confusion. Let's correct it.
To simplify 4^11/4^-9 in exponential form, we can use the quotient rule of exponents, which states that a^m / a^n = a^(m-n).
Applying this rule to the given expression, we have:
4^11/4^-9 = 4^(11-(-9))
Simplifying the exponent, we have:
4^(11-(-9)) = 4^(11+9) = 4^20
So, 4^11/4^-9 in exponential form is 4^20.