Write the value of the expression.
4^5/4^5
A: 1
B: 4
C: 5
D: 0
A: 1
Write the value of the expression
4^7/4^9
A: -16
B: 1/16
C: 1/8
D: 8
B: 1/16
Multiply. Write the result in scientific notation.
(1.4x10^1)(8x10^4)
A: 9.4x10^4
B: 9.4x10^5
C: 1.12x10^5
D: 1.12x10^6
B: 9.4x10^5
To simplify the expression (4^5/4^5), we can use the property of exponents that states a^m / a^n = a^(m-n).
In this case, since both the numerator and denominator have the same base (4) and the same exponent (5), the exponentiation property becomes:
4^5 / 4^5 = 4^(5-5) = 4^0.
The value of any number (except 0) raised to the power of 0 is 1. Therefore, the value of the expression 4^5 / 4^5 is 1.
So, the correct answer is:
A: 1
To determine the value of the expression 4^5/4^5, we need to understand the rules of exponents. When you have the same base raised to different exponents, you can simplify it by subtracting the exponents.
In this case, both exponents are 5, and we are dividing two expressions with the same base of 4. So, we can subtract the exponents and rewrite the expression as 4^(5-5).
When we subtract the exponents, we get 4^0. Any number raised to the power of 0 is equal to 1. Therefore, the value of the expression 4^5/4^5 is 1.
So, the answer is A: 1.