11. Which of the following expressions is true?
A. 4^3 * 4^4 = 4^12
B. 5^2 * 5^3 > 5^5
C. 3^2 * 3^5 > 3^10
D. 5^2 * 5^4 < 5^8
12. Which of the following expressions true?
A. 2^4 * 2^3 = 2^12
B. 3^3 * 3^6 > 3^8
C. 4^2 * 4^2 > 4^4
D. 5^5 * 5^2 = 5^10
I think 11. Is D, and 12. Is B.
Can you please check my answers?
5⁸>5⁶✓
3⁹>3⁸✓
You picked the right option
Thank you
5^2 x 5^4 =5^8 T or F
True.
When you multiply two powers with the same base, you add the exponents.
So,
5^2 * 5^4 = 5^(2+4) = 5^6
Therefore, 5^2 * 5^4 is not equal to 5^8. But, 5^2 * 5^4 = 5^8 is true.
4^4*4^4=4^16 T or F
True.
When you multiply two powers with the same base, you add the exponents.
So,
4^4 * 4^4 = 4^(4+4) = 4^8
However, 4^8 is not equal to 4^16.
Therefore, the statement "4^4*4^4=4^16" is false.
8^3*8^2<8^4 T or F
True.
When you multiply two powers with the same base, you add the exponents.
So,
8^3 * 8^2 = 8^(3+2) = 8^5
However, 8^5 is not greater than 8^4.
Therefore, the statement "8^3*8^2<8^4" is true.
what is the value of the expression 4^5/4^5
The value of the expression 4^5/4^5 is 1.
When you divide two powers with the same base, you subtract the exponent of the denominator from the exponent of the numerator.
So,
4^5/4^5 = 4^(5-5) = 4^0
And any number (except 0) raised to the power of 0 is 1. Therefore, 4^0 = 1.
Hence, the value of the expression 4^5/4^5 is 1.