Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Calculate the exponents |
Grade: 6-a Lesson: S3-L4 |
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 \$(4/8)^(-4)\$.
Step 1a
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Given term. |
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Explanation:
Given term is \$(4/8)^(-4)\$. |
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Step 1b
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Use law of exponents. |
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Explanation:
Use law of exponents: ⇒ \$(4/8)^(-4)\$ ⇒ \$(4^(-4))/(8^(-4))\$ ⇒ \$(1/(4^4))/(1/(8^4))\$ ⇒ \$1/(4^4) times (8^4)/1\$ ⇒ \$(8^4)/(4^4)\$ |
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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 ⇒ \$(8 times 8 times 8 times 8)/(4 times 4 times 4 times 4\$ ⇒ \$4096/256\$ |
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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 256 ⇒ \$cancel4096^(16)/cancel256^1\$ \$=> 16/1\$ \$=> 16\$ ∴ \$(4/8)^(-4) = 16\$. |
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