We have the expression:
[tex]7^8\cdot7[/tex]In order for other expression being the same, the total value of the exponent should be 9 and the base 7. That's why the following are the equivalent expressions:
[tex]\frac{7^{18}}{7^9}[/tex][tex](7^3)^3[/tex][tex]7^4\cdot7^5[/tex]These, when operated give as result the original expression 7^9.
*The first one, since we will have the same base and sustrac the exponent of the number dividing from the exponent of the number divided.
*The second one, since we have the same base and multiply the exponents.
*The third one, since we have the same base and add the exponents.
