Okay so I don't get it how 1/27 times 9 to the power of 24 equals 27 to the power of 15 :(
1/27 * 9^24 = 27^15
+23252 If we write each of these as a power of 3, we can show that the left side equals the right side.
Left side:
1 / 27 = 1 / 3^3 = 3^-3
9^24 = (3²)^24 = 3^48 (When you have an exponent to an exponent, multiply the exponents.)
(3^-3) x (3^48) = 3^45 (When you multiply numbers with the same base, add the exponents.)
Right side:
27^15 = (3^3)^15 = 3^45
+23252 If we write each of these as a power of 3, we can show that the left side equals the right side.
Left side:
1 / 27 = 1 / 3^3 = 3^-3
9^24 = (3²)^24 = 3^48 (When you have an exponent to an exponent, multiply the exponents.)
(3^-3) x (3^48) = 3^45 (When you multiply numbers with the same base, add the exponents.)
Right side:
27^15 = (3^3)^15 = 3^45
