Reorder <math><mstyle displaystyle="true"><mn>49</mn></mstyle></math> and <math><mstyle displaystyle="true"><msup><mrow><mi>a</mi></mrow><mrow><mn>8</mn></mrow></msup></mstyle></math> .

Add parentheses.

Pull terms out from under the radical.

Rewrite <math><mstyle displaystyle="true"><mn>49</mn><msup><mrow><mi>b</mi></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mo>(</mo><mn>7</mn><mi>b</mi><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mroot><mrow><msup><mrow><mo>(</mo><mn>7</mn><mi>b</mi><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup></mrow><mrow><mn>8</mn></mrow></mroot></mstyle></math> as <math><mstyle displaystyle="true"><mroot><mrow><msqrt><msup><mrow><mo>(</mo><mn>7</mn><mi>b</mi><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup></msqrt></mrow><mrow><mn>4</mn></mrow></mroot></mstyle></math> .

Pull terms out from under the radical.

Remove non-negative terms from the absolute value.

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