Griffiths Watson
03/14/2023 · Senior High School
soal di bawah ini dengan benar! Bentuk sederhana dari \( \left(\frac{3}{5} a^{4} b\right)^{2} \div\left(\frac{1}{5} a^{2} b^{3}\right)^{3} \) adalah ... . (dalam pangkat positi
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Calculate or simplify the expression \( (3/5*a^4*b)^2 / ((1/5*a^2*b^3)^3) \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{\left(\frac{3}{5}a^{4}b\right)^{2}}{\left(\frac{1}{5}a^{2}b^{3}\right)^{3}}\)
- step1: Evaluate the power:
\(\frac{\frac{9}{25}a^{8}b^{2}}{\left(\frac{1}{5}a^{2}b^{3}\right)^{3}}\)
- step2: Evaluate the power:
\(\frac{\frac{9}{25}a^{8}b^{2}}{\frac{1}{125}a^{6}b^{9}}\)
- step3: Rewrite the expression:
\(\frac{\frac{9a^{8}b^{2}}{25}}{\frac{1}{125}a^{6}b^{9}}\)
- step4: Rewrite the expression:
\(\frac{\frac{9a^{8}b^{2}}{25}}{\frac{a^{6}b^{9}}{125}}\)
- step5: Multiply by the reciprocal:
\(\frac{9a^{8}b^{2}}{25}\times \frac{125}{a^{6}b^{9}}\)
- step6: Reduce the fraction:
\(9a^{2}\times \frac{5}{b^{7}}\)
- step7: Multiply the terms:
\(\frac{9a^{2}\times 5}{b^{7}}\)
- step8: Multiply the terms:
\(\frac{45a^{2}}{b^{7}}\)
Bentuk sederhana dari \( \left(\frac{3}{5} a^{4} b\right)^{2} \div\left(\frac{1}{5} a^{2} b^{3}\right)^{3} \) adalah \( \frac{45a^{2}}{b^{7}} \).
Quick Answer
\( \frac{45a^{2}}{b^{7}} \)
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