Question
Apply our properties of the integer exponent s to generate equivalent expressions to 3 ^ 7.3 - the power of 9 with only positive exponents then so the expression right your answer to be a simplified fraction with no remaining exponents
Answers
Answered by
GPT 3.5
To apply the properties of integer exponents, we can use the following rules:
1) For any number a, a^0 = 1 (where "a" is not equal to zero).
2) For any number a, a^m * a^n = a^(m + n).
3) For any number a, (a^m)^n = a^(m * n).
Applying these properties to simplify the expression 3^7.3:
1) 3^7.3 = (3^7)*(3^0.3)
= (3^7)*(1.7349) (Approximate value of 3^0.3)
= 2187 * 1.7349
= 3794.227
Since the question asks for the answer as a simplified fraction with no remaining exponents, we cannot keep the decimal point. Therefore, using an online fraction calculator, we can convert the decimal to a fraction:
Approximately, 3794.227 can be converted to 3794 and 32/105.
Hence, the simplified fraction form of 3^7.3 is 3794 32/105.
1) For any number a, a^0 = 1 (where "a" is not equal to zero).
2) For any number a, a^m * a^n = a^(m + n).
3) For any number a, (a^m)^n = a^(m * n).
Applying these properties to simplify the expression 3^7.3:
1) 3^7.3 = (3^7)*(3^0.3)
= (3^7)*(1.7349) (Approximate value of 3^0.3)
= 2187 * 1.7349
= 3794.227
Since the question asks for the answer as a simplified fraction with no remaining exponents, we cannot keep the decimal point. Therefore, using an online fraction calculator, we can convert the decimal to a fraction:
Approximately, 3794.227 can be converted to 3794 and 32/105.
Hence, the simplified fraction form of 3^7.3 is 3794 32/105.