Final answer:
To simplify the expression y⁻⁸*y⁷*y⁵, we can multiply the digit terms and add the exponents of the exponential terms. The simplified expression is y⁶.
Step-by-step explanation:
To simplify the expression y⁻⁸*y⁷*y⁵, we can use the multiplication of exponentials rule, which states that we should multiply the digit terms and add the exponents of the exponential terms. In this case, the digit terms are y and y, which can be multiplied to give y². The exponents are -8, 7, and 5. When we add these exponents, we get -8+7+5 = 4. Therefore, the simplified expression is y²y⁴, which can be further simplified to y⁶.