(4x^2-2x-1)-(-3x^3+2)
-3x^3+4x^2+2x-1
x^11/x^4
x^7
which of the following expressions is true
2^4 x 2^4 > 2^7
3^2 x 3^6 = 3^7
4^3 x 4^5 < 4^8
5^2 x 5^3 = 5^6
2^4 x 2^4 = 16 x 16 = 256 and 2^7 = 128, which means 2^4 x 2^4 > 2^7 is true.
3^2 x 3^6 = 9 x 729 = 6561 and 3^7 = 2187, which means 3^2 x 3^6 ≠ 3^7 is false.
4^3 x 4^5 = 64 x 1024 = 65536 and 4^8 = 65536, which means 4^3 x 4^5 < 4^8 is true.
5^2 x 5^3 = 25 x 125 = 3125 and 5^6 = 15625, which means 5^2 x 5^3 ≠ 5^6 is false.
Therefore, the only true statement is 2^4 x 2^4 > 2^7.
467/4^9
467/4^9 can be simplified by using the exponent rule that says a^(-n) = 1/a^n, which means:
467/4^9 = 467/(4^2)^4 = 467/16^4
Now we can simplify further using the rule that says (a^m)^n = a^(m*n), which means:
467/16^4 = 467/(2^4)^4 = 467/2^16
Finally, using the rule that says a^n/b^n = (a/b)^n, we get:
467/2^16 = (467/2^8)^2 = (1.824)^2 = 3.322624
Therefore, 467/4^9 = 3.322624 (rounded to 6 decimal places).
4^7/4^9
4^7/4^9 can be simplified using the exponent rule that says a^m/a^n = a^(m-n), which means:
4^7/4^9 = 4^(7-9) = 4^(-2)
Now we can use the rule that says a^(-n) = 1/a^n to further simplify:
4^(-2) = 1/4^2 = 1/16
Therefore, 4^7/4^9 = 1/16.