7^{8.9}\div(343)^{1.7}\times(49)^{4.8}=7^x

Simplification Test 4

Question : 31 of 40

Marks: +1, -0

7^{8.9}÷(343)^{1.7}×(49)^{4.8}=7^x

Solution:

7^x=(7)^{8.9}÷(343)^{1.7}×(49)^{4.8}

7^x=(7)^{8.9}÷(7×7×7)^{1.7}×(7×7)^{4.8}

7^x=(7)^{8.9}÷((7)^3)^{1.7}×( (7)^2)^{4.8}

7^x=(7)^{8.9}÷(7)^{5.1}×(7)^{9.6}

7^x=(7)^{8.9-5.1} ×(7)^{9.6}

7^x=(7)^{3.8} ×(7)^{9.6}

7^x=(7)^{3.8+9.6}

7^x=(7)^{13.4}

x=13.4

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