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Which equation justifies why nine to the one third power equals the cube root of nine?

A. nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

B. nine to the one third power all raised to the third power equals nine raised to the one third plus three power equals nine

C. nine to the one third power all raised to the third power equals nine raised to the one third minus three power equals nine

D. nine to the one third power all raised to the third power equals nine raised to the three minus one third power equals nine