(4)) Evaluate $$ (8+t)^{3}-6 $$ when $$ t=2 $$. 4) The value of the expression is 4.

Substitute $$ t=2 $$ into the expression $$ (8+t)^{3}-6 $$. Evaluate the expression by following steps: - step0: Evaluate: $$\left(8+t\right)^{3}-6$$ - step1: Substitute: $$\left(8+2\right)^{3}-6$$ - step2: Add the numbers: $$10^{3}-6$$ - step3: Evaluate the power: $$1000-6$$ - step4: Subtract the numbers: $$994$$ The value of the expression $$ (8+t)^{3}-6 $$ when $$ t=2 $$ is 994. When $$ t=2 $$, the expression $$ (8+t)^{3}-6 $$ equals 994.

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Pregunta

(4)) Evaluate when .
4) The value of the expression is
4.

Ask by Howell Pierce. in the United States

Mar 28,2025

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When

, the expression

equals 994.

Solución

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Como

Beyond the Answer

Let’s dive into the expression step-by-step! When you substitute

into the expression

, you first calculate

. Now, raising 10 to the power of 3 gives us

. Finally, subtracting 6 from 1000 results in

. So, the value of the expression when

is 994!

Now, if you’re eager to discover the origins of powers and exponents, they date back to ancient civilizations who used basic mathematical principles for trade and astronomy! The notation we use today was developed much later, making calculations more straightforward and efficient—how cool is that?

For practical uses, understanding exponentiation can help in various fields, from finance when calculating compound interest to computer science in algorithm complexity. Getting comfortable with these operations can greatly assist you in tackling real-life problems creatively and effectively!

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