The product rule for exponents states that for two or exponents that share the same base, the products is equal to their shared base to the sum of their exponents.Can anyone help me figure this out?

10⁻⁵ · 10⁴ · 10⁸ = 10⁻⁵⁺⁴⁺⁸ = 10⁷

The product rule for exponents allows you to add the exponents together when multiplying numbers with the same base. In the example, 10⁻⁵ · 10⁴ · 10⁸, you added -5, 4 and 8 to get 10⁷. This rule is useful in scientific notation for simplifying multiplication.

The product rule for exponents states that for any base (in your case it's 10), the product of two exponents with the same base equals to the base raised to the sum of the exponents. Essentially, you just add the exponents together. If you have 10⁻⁵, 10⁴, and 10⁸, you simply find your answer by doing 10⁻⁵⁺⁴⁺⁸. This is equal to 10⁷, so your initial calculation was correct. An example of this rule can be seen with smaller numbers. If you take 5² (equal to 5x5 which equals 25) and multiply it by 5³ (equal to 5x5x5 which equals 125), using the product rule of exponents, you would add 2 and 3 (the exponents) to get 5⁵ (equal to 3125). To further apply this rule, you could have scientific notation; for multiplying two numbers represented in this system (like 3 × 10⁵ and 2 × 10⁰) you multiply the coefficients (3 and 2) and combine it with 10 raised to the sum of the exponents.

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Answer:The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents

Step-by-step explanation: