1
m^1/15
m^4/15
m^2/15
m^-2/15
Identify the equivalent expression for each of the expressions below.
(m^1/3m^1/5)^0
(M^1/3)^1/5
m^1/3 x m^1/5
m^1/3/m^1/5
m^1/5/m^1/3
5 answers
third one wrong
Sorry about that, here are the correct equivalents for each expression:
1) (m^1/3m^1/5)^0 = 1
2) (M^1/3)^1/5 = M^1/15
3) m^1/3 x m^1/5 = m^4/15
4) m^1/3/m^1/5 = m^2/15
5) m^1/5/m^1/3 = m^-2/15
1) (m^1/3m^1/5)^0 = 1
2) (M^1/3)^1/5 = M^1/15
3) m^1/3 x m^1/5 = m^4/15
4) m^1/3/m^1/5 = m^2/15
5) m^1/5/m^1/3 = m^-2/15
why
Here is the explanation for each calculation:
1) Any number raised to the power of 0 is equal to 1, so (m^1/3m^1/5)^0 = 1.
2) When you raise a power to another power, you multiply the exponents, so (M^1/3)^1/5 = M^(1/3 * 1/5) = M^1/15.
3) To multiply two terms with the same base, you add the exponents, so m^1/3 x m^1/5 = m^(1/3 + 1/5) = m^(8/15) = m^4/15.
4) To divide two terms with the same base, you subtract the exponents, so m^1/3 / m^1/5 = m^(1/3 - 1/5) = m^(2/15).
5) Again, to divide two terms with the same base, you subtract the exponents, so m^1/5 / m^1/3 = m^(1/5 - 1/3) = m^(-2/15) = 1/m^2/15 = 1/m^2/15.
1) Any number raised to the power of 0 is equal to 1, so (m^1/3m^1/5)^0 = 1.
2) When you raise a power to another power, you multiply the exponents, so (M^1/3)^1/5 = M^(1/3 * 1/5) = M^1/15.
3) To multiply two terms with the same base, you add the exponents, so m^1/3 x m^1/5 = m^(1/3 + 1/5) = m^(8/15) = m^4/15.
4) To divide two terms with the same base, you subtract the exponents, so m^1/3 / m^1/5 = m^(1/3 - 1/5) = m^(2/15).
5) Again, to divide two terms with the same base, you subtract the exponents, so m^1/5 / m^1/3 = m^(1/5 - 1/3) = m^(-2/15) = 1/m^2/15 = 1/m^2/15.