hello, solve the following
have a good day ahead
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hello, solve the following have a good day ahead
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Answer:
1. a²+⁵= a⁷
2. 5⁶- ⁴=5²
3. x²*³=x⁶
4. (3X4)⁵= 12⁵
5. 23⁰ = 1
6. 2²+ ³ =2⁵
Step-by-step explanation:
hope it helps
Question :
Simply the following problems using the exponential rules :
[tex] \\ [/tex]
Solution :
[tex]\sf \implies {x}^{a} {x}^{b} : x {}^{a + b} \\ \sf \implies {a}^{2} {a}^{5} : a {}^{2 + 5} [/tex]
[tex]\implies \bf a^7[/tex]
[tex]\sf\implies {x}^{a} \div {x}^{b} : x {}^{a - b} \\ \sf \implies {5}^{6} \div {5}^{4} = {5}^{6 - 4} [/tex]
[tex]\implies\bf 5^2[/tex]
[tex]\sf \implies {( {x}^{a} )}^{b} : x {}^{ab} \\ \sf \implies {(x}^{2}) {}^{3} =( x) {}^{2 \times 3}[/tex]
[tex]\implies\bf x^6[/tex]
[tex]\sf\implies {x}^{a} \times {y}^{a} : (xy) {}^{a} \\ \sf \implies(3 {}^{5} )( {4}^{5} ) = (3 \times 4) {}^{5} [/tex]
[tex]\implies\bf 12^5[/tex]
[tex]\sf\implies {x}^{0} : 1 [/tex]
[tex] \sf \implies {(23)}^{0} = 23 {}^{0} [/tex]
[tex]\implies\bf 1[/tex]
[tex]\sf\implies ({x})^{a} ( {x})^{b} : {x}^{a + b} \\ \sf \implies {2}^{2} ( {2}^{3} ) = {2}^{2 + 3} [/tex]
[tex]\implies\bf 2^5[/tex]