Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Calculate the exponents |
Grade: 6-a Lesson: S3-L3 |
Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding. |
Examples:
1. Calculate the value of \$(5/10)^(-3)\$.
Step 1a
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Given term. |
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Explanation:
Given term is \$(5/10)^(-3)\$. |
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Step 1b
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Use law of exponents. |
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Explanation:
Use law of exponents: ⇒ \$(5/10)^(-3)\$ ⇒ \$(5^(-3))/(10^(-3))\$ ⇒ \$(1/(5^3))/(1/(10^3))\$ ⇒ \$1/(5^3) times (10^3)/1\$ ⇒ \$(10^3)/(5^3)\$ |
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Step 1c
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Perform operations. |
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Explanation: Perform operation according to PEMDAS rule Calculate the exponents ⇒ \$(10 times 10 times 10)/(5 times 5 times 5)\$ ⇒ \$1000/125\$ |
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Step 1d
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Convert the term into lowest form. |
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Explanation: Cancel numerator and denominator by 125 ⇒ \$cancel1000^8/cancel125^1\$ \$=> 8/1\$ \$=> 8\$ ∴ \$(5/10)^(-3) = 8\$. |
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