bastiangame2008
Answered

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Help! im doing a gooru question but i dont know how to do it

Help Im Doing A Gooru Question But I Dont Know How To Do It class=

Sagot :

semsee45

Answer:

[tex]4a^{10}[/tex]

Step-by-step explanation:

[tex]\textsf{Given expression}:[/tex]

[tex](a^2)^5 \cdot 4^3 \cdot 4^{-2}[/tex]

[tex]\textsf{Apply radical rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies (a^2)^5 \cdot 4^{3+(-2)}[/tex]

[tex]\implies (a^2)^5 \cdot 4^1[/tex]

[tex]\implies (a^2)^5 \cdot 4[/tex]

[tex]\textsf{Apply radical rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies a^{2 \cdot 5} \cdot 4[/tex]

[tex]\implies a^{10} \cdot 4[/tex]

[tex]\textsf{Final solution}:[/tex]

[tex]\implies 4a^{10}[/tex]

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