WATCH: Malala Yousafzai's inspirational speech to the U.N.

On Friday, Pakistani schoolgirl and education activist Malala Yousafzai said in an address to the United Nations that the Taliban had "failed" to deter her from pushing for education equality.

"The terrorists thought that they would change our aims and stop our ambitions but nothing changed in my life except this: Weakness, fear and hopelessness died," she said. "Strength, power and courage was born."

A Taliban attacker shot Yousafzai in the head last October for, the group claimed, promoting "Western thinking," like the belief that girls should be allowed to attend school. Yousafzai only recovered after extensive surgery, and has since became an international symbol for education equality, with the U.N. naming Friday, her 16th birthday, Malala Day.

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"I speak not for myself, but for all girls and boys," she said. "I raise up my voice, not so that I can shout, but so that those without a voice can be heard. Those who have fought for their rights — their right to live in peace, their right to be treated with dignity, their right to equality of opportunity, their right to be educated."

The speech was also fraught with political symbolism: Malala wore a shawl that previously belonged to former Prime Minister Benazir Bhutto, a champion for secularism in Pakistan who was assassinated in 2007, most likely by one of the country's Islamic extremist groups.