6. solve and leave in exponential form : 3^7 * 3^ -9 =
*
1 point
3^2
3^3
3^-7
3^-2
To solve this equation, we can use the rule of exponents that states:
a^m * a^n = a^(m+n)
Applying this rule to the given equation:
3^7 * 3^(-9) = 3^(7+(-9)) = 3^(-2)
Therefore, the answer is 3^(-2) in exponential form.
To solve the expression 3^7 * 3^ -9, you can add the exponents of the same base, which in this case is 3.
So, 3^7 * 3^ -9 can be simplified as 3^(7 + -9).
When you add 7 and -9, you get -2.
Therefore, 3^7 * 3^ -9 is equal to 3^-2 in exponential form.
To solve the given expression and express it in exponential form, you can use the properties of exponents:
Remember that when you multiply two powers with the same base, you add the exponents. In this case, the base is 3.
So, we have:
3^7 * 3^(-9)
When you multiply these two powers, you can add the exponents:
3^(7 + (-9))
Simplifying the exponent:
3^(-2)
Therefore, the expression 3^7 * 3^(-9) can be written in exponential form as 3^(-2).