Write the expression a15 as a product of two exponents with the same base one of which is equal to a^6; a^9; a^2; a^14.
a15 = a6 · ...
a15 = a9 · ...
a15 = a2 · ...
a15 = a14 · ...
just make sure the exponents add up to 15
for example, a^15 = a^8 * a^7
Note the online use of the ^ for powers.
To express a^15 as a product of two exponents with the same base, we need to find another exponent that, when multiplied, gives us a^15.
a^15 = a^6 · a^(15-6)
a^15 = a^6 · a^9
a^15 = a^9 · a^(15-9)
a^15 = a^9 · a^6
a^15 = a^2 · a^(15-2)
a^15 = a^2 · a^13
a^15 = a^14 · a^(15-14)
a^15 = a^14 · a^1
To write the expression a^15 as a product of two exponents with the same base, we need to find a exponent that, when multiplied by another exponent with the same base, equals 15. We can consider the given options for the other exponent.
a^15 = a^6 · a^9
In this case, we can rewrite a^15 as a^6 · a^9.
a^15 = a^9 · a^6
In this case, we can also rewrite a^15 as a^9 · a^6.
a^15 = a^2 · a^13
In this case, we can rewrite a^15 as a^2 · a^13.
a^15 = a^14 · a^1
In this case, we can rewrite a^15 as a^14 · a^1.
So, the expression a^15 as a product of two exponents with the same base is:
a^15 = a^6 · a^9
or
a^15 = a^9 · a^6